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Finding the Third Proportional to 370,272 and 766,800

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Solution

The third proportional to 370,272 and 766,800 is: 1,587,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,272 : 766,800 = 766,800 : x
  2. Step 2: Convert to fraction form
    370,272/766,800 = 766,800/x
  3. Step 3: Cross multiply
    370,272x = 766,800 × 766,800
  4. Step 4: Simplify right side
    370,272x = 587,982,240,000
  5. Step 5: Solve for x
    x = 587,982,240,000/370,272
  6. Step 6: Final answer
    x = 1,587,973.81

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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.