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Finding the Third Proportional to 365,542.50 and 564,909

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Solution

The third proportional to 365,542.50 and 564,909 is: 873,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,542.50 : 564,909 = 564,909 : x
  2. Step 2: Convert to fraction form
    365,542.50/564,909 = 564,909/x
  3. Step 3: Cross multiply
    365,542.50x = 564,909 × 564,909
  4. Step 4: Simplify right side
    365,542.50x = 319,122,178,281
  5. Step 5: Solve for x
    x = 319,122,178,281/365,542.50
  6. Step 6: Final answer
    x = 873,009.78

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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.