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Finding the Third Proportional to 250,785 and 542,475

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Solution

The third proportional to 250,785 and 542,475 is: 1,173,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,785 : 542,475 = 542,475 : x
  2. Step 2: Convert to fraction form
    250,785/542,475 = 542,475/x
  3. Step 3: Cross multiply
    250,785x = 542,475 × 542,475
  4. Step 4: Simplify right side
    250,785x = 294,279,125,625
  5. Step 5: Solve for x
    x = 294,279,125,625/250,785
  6. Step 6: Final answer
    x = 1,173,431.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.