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Finding the Third Proportional to 642,732 and 944,208

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Solution

The third proportional to 642,732 and 944,208 is: 1,387,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,732 : 944,208 = 944,208 : x
  2. Step 2: Convert to fraction form
    642,732/944,208 = 944,208/x
  3. Step 3: Cross multiply
    642,732x = 944,208 × 944,208
  4. Step 4: Simplify right side
    642,732x = 891,528,747,264
  5. Step 5: Solve for x
    x = 891,528,747,264/642,732
  6. Step 6: Final answer
    x = 1,387,092.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.