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Finding the Third Proportional to 393,632 and 626,649

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Solution

The third proportional to 393,632 and 626,649 is: 997,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,632 : 626,649 = 626,649 : x
  2. Step 2: Convert to fraction form
    393,632/626,649 = 626,649/x
  3. Step 3: Cross multiply
    393,632x = 626,649 × 626,649
  4. Step 4: Simplify right side
    393,632x = 392,688,969,201
  5. Step 5: Solve for x
    x = 392,688,969,201/393,632
  6. Step 6: Final answer
    x = 997,604.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.