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Finding the Third Proportional to 354,764 and 762,014

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Solution

The third proportional to 354,764 and 762,014 is: 1,636,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,764 : 762,014 = 762,014 : x
  2. Step 2: Convert to fraction form
    354,764/762,014 = 762,014/x
  3. Step 3: Cross multiply
    354,764x = 762,014 × 762,014
  4. Step 4: Simplify right side
    354,764x = 580,665,336,196
  5. Step 5: Solve for x
    x = 580,665,336,196/354,764
  6. Step 6: Final answer
    x = 1,636,765.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.