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Finding the Third Proportional to 641,874.38 and 897,334.88

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Solution

The third proportional to 641,874.38 and 897,334.88 is: 1,254,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,874.38 : 897,334.88 = 897,334.88 : x
  2. Step 2: Convert to fraction form
    641,874.38/897,334.88 = 897,334.88/x
  3. Step 3: Cross multiply
    641,874.38x = 897,334.88 × 897,334.88
  4. Step 4: Simplify right side
    641,874.38x = 805,209,877,891.27
  5. Step 5: Solve for x
    x = 805,209,877,891.27/641,874.38
  6. Step 6: Final answer
    x = 1,254,466.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.