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Finding the Third Proportional to 246,677 and 539,487

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Solution

The third proportional to 246,677 and 539,487 is: 1,179,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,677 : 539,487 = 539,487 : x
  2. Step 2: Convert to fraction form
    246,677/539,487 = 539,487/x
  3. Step 3: Cross multiply
    246,677x = 539,487 × 539,487
  4. Step 4: Simplify right side
    246,677x = 291,046,223,169
  5. Step 5: Solve for x
    x = 291,046,223,169/246,677
  6. Step 6: Final answer
    x = 1,179,867.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.