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Finding the Third Proportional to 246,498 and 530,982

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Solution

The third proportional to 246,498 and 530,982 is: 1,143,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,498 : 530,982 = 530,982 : x
  2. Step 2: Convert to fraction form
    246,498/530,982 = 530,982/x
  3. Step 3: Cross multiply
    246,498x = 530,982 × 530,982
  4. Step 4: Simplify right side
    246,498x = 281,941,884,324
  5. Step 5: Solve for x
    x = 281,941,884,324/246,498
  6. Step 6: Final answer
    x = 1,143,789.74

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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.