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Finding the Third Proportional to 524,599.88 and 769,672.13

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Solution

The third proportional to 524,599.88 and 769,672.13 is: 1,129,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,599.88 : 769,672.13 = 769,672.13 : x
  2. Step 2: Convert to fraction form
    524,599.88/769,672.13 = 769,672.13/x
  3. Step 3: Cross multiply
    524,599.88x = 769,672.13 × 769,672.13
  4. Step 4: Simplify right side
    524,599.88x = 592,395,180,002.02
  5. Step 5: Solve for x
    x = 592,395,180,002.02/524,599.88
  6. Step 6: Final answer
    x = 1,129,232.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.