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Finding the Third Proportional to 250,248 and 539,859

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Solution

The third proportional to 250,248 and 539,859 is: 1,164,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,248 : 539,859 = 539,859 : x
  2. Step 2: Convert to fraction form
    250,248/539,859 = 539,859/x
  3. Step 3: Cross multiply
    250,248x = 539,859 × 539,859
  4. Step 4: Simplify right side
    250,248x = 291,447,739,881
  5. Step 5: Solve for x
    x = 291,447,739,881/250,248
  6. Step 6: Final answer
    x = 1,164,635.64

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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.