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Finding the Third Proportional to 250,275 and 539,924

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Solution

The third proportional to 250,275 and 539,924 is: 1,164,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,275 : 539,924 = 539,924 : x
  2. Step 2: Convert to fraction form
    250,275/539,924 = 539,924/x
  3. Step 3: Cross multiply
    250,275x = 539,924 × 539,924
  4. Step 4: Simplify right side
    250,275x = 291,517,925,776
  5. Step 5: Solve for x
    x = 291,517,925,776/250,275
  6. Step 6: Final answer
    x = 1,164,790.43

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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.