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Finding the Third Proportional to 375,769 and 662,275

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Solution

The third proportional to 375,769 and 662,275 is: 1,167,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,769 : 662,275 = 662,275 : x
  2. Step 2: Convert to fraction form
    375,769/662,275 = 662,275/x
  3. Step 3: Cross multiply
    375,769x = 662,275 × 662,275
  4. Step 4: Simplify right side
    375,769x = 438,608,175,625
  5. Step 5: Solve for x
    x = 438,608,175,625/375,769
  6. Step 6: Final answer
    x = 1,167,228.21

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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.