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Finding the Third Proportional to 267,316 and 399,654

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Solution

The third proportional to 267,316 and 399,654 is: 597,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,316 : 399,654 = 399,654 : x
  2. Step 2: Convert to fraction form
    267,316/399,654 = 399,654/x
  3. Step 3: Cross multiply
    267,316x = 399,654 × 399,654
  4. Step 4: Simplify right side
    267,316x = 159,723,319,716
  5. Step 5: Solve for x
    x = 159,723,319,716/267,316
  6. Step 6: Final answer
    x = 597,507.52

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Why These Related Problems?

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