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Finding the Third Proportional to 250,654.50 and 577,122.75

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Solution

The third proportional to 250,654.50 and 577,122.75 is: 1,328,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,654.50 : 577,122.75 = 577,122.75 : x
  2. Step 2: Convert to fraction form
    250,654.50/577,122.75 = 577,122.75/x
  3. Step 3: Cross multiply
    250,654.50x = 577,122.75 × 577,122.75
  4. Step 4: Simplify right side
    250,654.50x = 333,070,668,567.56
  5. Step 5: Solve for x
    x = 333,070,668,567.56/250,654.50
  6. Step 6: Final answer
    x = 1,328,803.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.