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Finding the Third Proportional to 354,850,733.25 and 776,596,191.75

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Solution

The third proportional to 354,850,733.25 and 776,596,191.75 is: 1,699,592,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,850,733.25 : 776,596,191.75 = 776,596,191.75 : x
  2. Step 2: Convert to fraction form
    354,850,733.25/776,596,191.75 = 776,596,191.75/x
  3. Step 3: Cross multiply
    354,850,733.25x = 776,596,191.75 × 776,596,191.75
  4. Step 4: Simplify right side
    354,850,733.25x = 603,101,645,040,602,752
  5. Step 5: Solve for x
    x = 603,101,645,040,602,752/354,850,733.25
  6. Step 6: Final answer
    x = 1,699,592,500.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.