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Finding the Third Proportional to 316,462.50 and 422,739

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Solution

The third proportional to 316,462.50 and 422,739 is: 564,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,462.50 : 422,739 = 422,739 : x
  2. Step 2: Convert to fraction form
    316,462.50/422,739 = 422,739/x
  3. Step 3: Cross multiply
    316,462.50x = 422,739 × 422,739
  4. Step 4: Simplify right side
    316,462.50x = 178,708,262,121
  5. Step 5: Solve for x
    x = 178,708,262,121/316,462.50
  6. Step 6: Final answer
    x = 564,705.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.