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Finding the Third Proportional to 532,621.13 and 719,839.69

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Solution

The third proportional to 532,621.13 and 719,839.69 is: 972,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,621.13 : 719,839.69 = 719,839.69 : x
  2. Step 2: Convert to fraction form
    532,621.13/719,839.69 = 719,839.69/x
  3. Step 3: Cross multiply
    532,621.13x = 719,839.69 × 719,839.69
  4. Step 4: Simplify right side
    532,621.13x = 518,169,175,700.10
  5. Step 5: Solve for x
    x = 518,169,175,700.10/532,621.13
  6. Step 6: Final answer
    x = 972,866.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.