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Finding the Third Proportional to 258,499 and 568,025.13

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Solution

The third proportional to 258,499 and 568,025.13 is: 1,248,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,499 : 568,025.13 = 568,025.13 : x
  2. Step 2: Convert to fraction form
    258,499/568,025.13 = 568,025.13/x
  3. Step 3: Cross multiply
    258,499x = 568,025.13 × 568,025.13
  4. Step 4: Simplify right side
    258,499x = 322,652,542,631.27
  5. Step 5: Solve for x
    x = 322,652,542,631.27/258,499
  6. Step 6: Final answer
    x = 1,248,177.14

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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.