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Finding the Third Proportional to 407.38 and 631.13

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Solution

The third proportional to 407.38 and 631.13 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.38 : 631.13 = 631.13 : x
  2. Step 2: Convert to fraction form
    407.38/631.13 = 631.13/x
  3. Step 3: Cross multiply
    407.38x = 631.13 × 631.13
  4. Step 4: Simplify right side
    407.38x = 398,318.77
  5. Step 5: Solve for x
    x = 398,318.77/407.38
  6. Step 6: Final answer
    x = 977.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.