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Finding the Third Proportional to 363,305.81 and 567,032.91

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Solution

The third proportional to 363,305.81 and 567,032.91 is: 885,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,305.81 : 567,032.91 = 567,032.91 : x
  2. Step 2: Convert to fraction form
    363,305.81/567,032.91 = 567,032.91/x
  3. Step 3: Cross multiply
    363,305.81x = 567,032.91 × 567,032.91
  4. Step 4: Simplify right side
    363,305.81x = 321,526,316,770.32
  5. Step 5: Solve for x
    x = 321,526,316,770.32/363,305.81
  6. Step 6: Final answer
    x = 885,001.85

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Why These Related Problems?

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