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Finding the Third Proportional to 250,594 and 521,924

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Solution

The third proportional to 250,594 and 521,924 is: 1,087,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,594 : 521,924 = 521,924 : x
  2. Step 2: Convert to fraction form
    250,594/521,924 = 521,924/x
  3. Step 3: Cross multiply
    250,594x = 521,924 × 521,924
  4. Step 4: Simplify right side
    250,594x = 272,404,661,776
  5. Step 5: Solve for x
    x = 272,404,661,776/250,594
  6. Step 6: Final answer
    x = 1,087,035.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.