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Finding the Third Proportional to 257,331 and 567,015

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Solution

The third proportional to 257,331 and 567,015 is: 1,249,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,331 : 567,015 = 567,015 : x
  2. Step 2: Convert to fraction form
    257,331/567,015 = 567,015/x
  3. Step 3: Cross multiply
    257,331x = 567,015 × 567,015
  4. Step 4: Simplify right side
    257,331x = 321,506,010,225
  5. Step 5: Solve for x
    x = 321,506,010,225/257,331
  6. Step 6: Final answer
    x = 1,249,387.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.