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Finding the Third Proportional to 332,564 and 718,376

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Solution

The third proportional to 332,564 and 718,376 is: 1,551,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,564 : 718,376 = 718,376 : x
  2. Step 2: Convert to fraction form
    332,564/718,376 = 718,376/x
  3. Step 3: Cross multiply
    332,564x = 718,376 × 718,376
  4. Step 4: Simplify right side
    332,564x = 516,064,077,376
  5. Step 5: Solve for x
    x = 516,064,077,376/332,564
  6. Step 6: Final answer
    x = 1,551,773.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.