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Finding the Third Proportional to 399,352 and 600,654

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Solution

The third proportional to 399,352 and 600,654 is: 903,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,352 : 600,654 = 600,654 : x
  2. Step 2: Convert to fraction form
    399,352/600,654 = 600,654/x
  3. Step 3: Cross multiply
    399,352x = 600,654 × 600,654
  4. Step 4: Simplify right side
    399,352x = 360,785,227,716
  5. Step 5: Solve for x
    x = 360,785,227,716/399,352
  6. Step 6: Final answer
    x = 903,426.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.