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Finding the Third Proportional to 250,574 and 521,882

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Solution

The third proportional to 250,574 and 521,882 is: 1,086,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,574 : 521,882 = 521,882 : x
  2. Step 2: Convert to fraction form
    250,574/521,882 = 521,882/x
  3. Step 3: Cross multiply
    250,574x = 521,882 × 521,882
  4. Step 4: Simplify right side
    250,574x = 272,360,821,924
  5. Step 5: Solve for x
    x = 272,360,821,924/250,574
  6. Step 6: Final answer
    x = 1,086,947.66

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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.