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Finding the Third Proportional to 375,759 and 662,250

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Solution

The third proportional to 375,759 and 662,250 is: 1,167,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,759 : 662,250 = 662,250 : x
  2. Step 2: Convert to fraction form
    375,759/662,250 = 662,250/x
  3. Step 3: Cross multiply
    375,759x = 662,250 × 662,250
  4. Step 4: Simplify right side
    375,759x = 438,575,062,500
  5. Step 5: Solve for x
    x = 438,575,062,500/375,759
  6. Step 6: Final answer
    x = 1,167,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.