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Finding the Third Proportional to 246,486 and 517,842

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Solution

The third proportional to 246,486 and 517,842 is: 1,087,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,486 : 517,842 = 517,842 : x
  2. Step 2: Convert to fraction form
    246,486/517,842 = 517,842/x
  3. Step 3: Cross multiply
    246,486x = 517,842 × 517,842
  4. Step 4: Simplify right side
    246,486x = 268,160,336,964
  5. Step 5: Solve for x
    x = 268,160,336,964/246,486
  6. Step 6: Final answer
    x = 1,087,933.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.