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Finding the Third Proportional to 298,686,417.75 and 468,550,433.25

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Solution

The third proportional to 298,686,417.75 and 468,550,433.25 is: 735,016,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,686,417.75 : 468,550,433.25 = 468,550,433.25 : x
  2. Step 2: Convert to fraction form
    298,686,417.75/468,550,433.25 = 468,550,433.25/x
  3. Step 3: Cross multiply
    298,686,417.75x = 468,550,433.25 × 468,550,433.25
  4. Step 4: Simplify right side
    298,686,417.75x = 219,539,508,498,762,720
  5. Step 5: Solve for x
    x = 219,539,508,498,762,720/298,686,417.75
  6. Step 6: Final answer
    x = 735,016,711.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.