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Finding the Third Proportional to 372,498 and 829,306.50

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Solution

The third proportional to 372,498 and 829,306.50 is: 1,846,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,498 : 829,306.50 = 829,306.50 : x
  2. Step 2: Convert to fraction form
    372,498/829,306.50 = 829,306.50/x
  3. Step 3: Cross multiply
    372,498x = 829,306.50 × 829,306.50
  4. Step 4: Simplify right side
    372,498x = 687,749,270,942.25
  5. Step 5: Solve for x
    x = 687,749,270,942.25/372,498
  6. Step 6: Final answer
    x = 1,846,316.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.