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Finding the Third Proportional to 402,898 and 626,704

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Solution

The third proportional to 402,898 and 626,704 is: 974,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,898 : 626,704 = 626,704 : x
  2. Step 2: Convert to fraction form
    402,898/626,704 = 626,704/x
  3. Step 3: Cross multiply
    402,898x = 626,704 × 626,704
  4. Step 4: Simplify right side
    402,898x = 392,757,903,616
  5. Step 5: Solve for x
    x = 392,757,903,616/402,898
  6. Step 6: Final answer
    x = 974,832.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.