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Finding the Third Proportional to 275,882 and 374,457

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Solution

The third proportional to 275,882 and 374,457 is: 508,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,882 : 374,457 = 374,457 : x
  2. Step 2: Convert to fraction form
    275,882/374,457 = 374,457/x
  3. Step 3: Cross multiply
    275,882x = 374,457 × 374,457
  4. Step 4: Simplify right side
    275,882x = 140,218,044,849
  5. Step 5: Solve for x
    x = 140,218,044,849/275,882
  6. Step 6: Final answer
    x = 508,253.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.