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Finding the Third Proportional to 312,498 and 647,149.50

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Solution

The third proportional to 312,498 and 647,149.50 is: 1,340,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,498 : 647,149.50 = 647,149.50 : x
  2. Step 2: Convert to fraction form
    312,498/647,149.50 = 647,149.50/x
  3. Step 3: Cross multiply
    312,498x = 647,149.50 × 647,149.50
  4. Step 4: Simplify right side
    312,498x = 418,802,475,350.25
  5. Step 5: Solve for x
    x = 418,802,475,350.25/312,498
  6. Step 6: Final answer
    x = 1,340,176.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.