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Finding the Third Proportional to 372,818 and 810,436

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Solution

The third proportional to 372,818 and 810,436 is: 1,761,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,818 : 810,436 = 810,436 : x
  2. Step 2: Convert to fraction form
    372,818/810,436 = 810,436/x
  3. Step 3: Cross multiply
    372,818x = 810,436 × 810,436
  4. Step 4: Simplify right side
    372,818x = 656,806,510,096
  5. Step 5: Solve for x
    x = 656,806,510,096/372,818
  6. Step 6: Final answer
    x = 1,761,734.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.