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Finding the Third Proportional to 393,660 and 626,688

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Solution

The third proportional to 393,660 and 626,688 is: 997,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,660 : 626,688 = 626,688 : x
  2. Step 2: Convert to fraction form
    393,660/626,688 = 626,688/x
  3. Step 3: Cross multiply
    393,660x = 626,688 × 626,688
  4. Step 4: Simplify right side
    393,660x = 392,737,849,344
  5. Step 5: Solve for x
    x = 392,737,849,344/393,660
  6. Step 6: Final answer
    x = 997,657.49

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