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Finding the Third Proportional to 246,332 and 529,498

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Solution

The third proportional to 246,332 and 529,498 is: 1,138,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,332 : 529,498 = 529,498 : x
  2. Step 2: Convert to fraction form
    246,332/529,498 = 529,498/x
  3. Step 3: Cross multiply
    246,332x = 529,498 × 529,498
  4. Step 4: Simplify right side
    246,332x = 280,368,132,004
  5. Step 5: Solve for x
    x = 280,368,132,004/246,332
  6. Step 6: Final answer
    x = 1,138,171.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.