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Finding the Third Proportional to 598,660.88 and 929,566.13

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Solution

The third proportional to 598,660.88 and 929,566.13 is: 1,443,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,660.88 : 929,566.13 = 929,566.13 : x
  2. Step 2: Convert to fraction form
    598,660.88/929,566.13 = 929,566.13/x
  3. Step 3: Cross multiply
    598,660.88x = 929,566.13 × 929,566.13
  4. Step 4: Simplify right side
    598,660.88x = 864,093,180,747.52
  5. Step 5: Solve for x
    x = 864,093,180,747.52/598,660.88
  6. Step 6: Final answer
    x = 1,443,376.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.