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Finding the Third Proportional to 363,874.50 and 567,952.50

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Solution

The third proportional to 363,874.50 and 567,952.50 is: 886,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,874.50 : 567,952.50 = 567,952.50 : x
  2. Step 2: Convert to fraction form
    363,874.50/567,952.50 = 567,952.50/x
  3. Step 3: Cross multiply
    363,874.50x = 567,952.50 × 567,952.50
  4. Step 4: Simplify right side
    363,874.50x = 322,570,042,256.25
  5. Step 5: Solve for x
    x = 322,570,042,256.25/363,874.50
  6. Step 6: Final answer
    x = 886,487.08

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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.