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Finding the Third Proportional to 370,500 and 798,600

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Solution

The third proportional to 370,500 and 798,600 is: 1,721,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,500 : 798,600 = 798,600 : x
  2. Step 2: Convert to fraction form
    370,500/798,600 = 798,600/x
  3. Step 3: Cross multiply
    370,500x = 798,600 × 798,600
  4. Step 4: Simplify right side
    370,500x = 637,761,960,000
  5. Step 5: Solve for x
    x = 637,761,960,000/370,500
  6. Step 6: Final answer
    x = 1,721,354.82

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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.