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Finding the Third Proportional to 213,498 and 462,060

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Solution

The third proportional to 213,498 and 462,060 is: 1,000,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,498 : 462,060 = 462,060 : x
  2. Step 2: Convert to fraction form
    213,498/462,060 = 462,060/x
  3. Step 3: Cross multiply
    213,498x = 462,060 × 462,060
  4. Step 4: Simplify right side
    213,498x = 213,499,443,600
  5. Step 5: Solve for x
    x = 213,499,443,600/213,498
  6. Step 6: Final answer
    x = 1,000,006.76

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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.