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Finding the Third Proportional to 375,910 and 810,506

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Solution

The third proportional to 375,910 and 810,506 is: 1,747,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,910 : 810,506 = 810,506 : x
  2. Step 2: Convert to fraction form
    375,910/810,506 = 810,506/x
  3. Step 3: Cross multiply
    375,910x = 810,506 × 810,506
  4. Step 4: Simplify right side
    375,910x = 656,919,976,036
  5. Step 5: Solve for x
    x = 656,919,976,036/375,910
  6. Step 6: Final answer
    x = 1,747,545.89

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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.