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Finding the Third Proportional to 582,639.75 and 787,168.13

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Solution

The third proportional to 582,639.75 and 787,168.13 is: 1,063,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,639.75 : 787,168.13 = 787,168.13 : x
  2. Step 2: Convert to fraction form
    582,639.75/787,168.13 = 787,168.13/x
  3. Step 3: Cross multiply
    582,639.75x = 787,168.13 × 787,168.13
  4. Step 4: Simplify right side
    582,639.75x = 619,633,657,016.02
  5. Step 5: Solve for x
    x = 619,633,657,016.02/582,639.75
  6. Step 6: Final answer
    x = 1,063,493.62

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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.