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Finding the Third Proportional to 595,141.17 and 894,046.36

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Solution

The third proportional to 595,141.17 and 894,046.36 is: 1,343,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,141.17 : 894,046.36 = 894,046.36 : x
  2. Step 2: Convert to fraction form
    595,141.17/894,046.36 = 894,046.36/x
  3. Step 3: Cross multiply
    595,141.17x = 894,046.36 × 894,046.36
  4. Step 4: Simplify right side
    595,141.17x = 799,318,892,711.69
  5. Step 5: Solve for x
    x = 799,318,892,711.69/595,141.17
  6. Step 6: Final answer
    x = 1,343,074.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.