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Finding the Third Proportional to 375,920 and 810,523

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Solution

The third proportional to 375,920 and 810,523 is: 1,747,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,920 : 810,523 = 810,523 : x
  2. Step 2: Convert to fraction form
    375,920/810,523 = 810,523/x
  3. Step 3: Cross multiply
    375,920x = 810,523 × 810,523
  4. Step 4: Simplify right side
    375,920x = 656,947,533,529
  5. Step 5: Solve for x
    x = 656,947,533,529/375,920
  6. Step 6: Final answer
    x = 1,747,572.71

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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.