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Finding the Third Proportional to 582,543.50 and 787,051

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Solution

The third proportional to 582,543.50 and 787,051 is: 1,063,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,543.50 : 787,051 = 787,051 : x
  2. Step 2: Convert to fraction form
    582,543.50/787,051 = 787,051/x
  3. Step 3: Cross multiply
    582,543.50x = 787,051 × 787,051
  4. Step 4: Simplify right side
    582,543.50x = 619,449,276,601
  5. Step 5: Solve for x
    x = 619,449,276,601/582,543.50
  6. Step 6: Final answer
    x = 1,063,352.83

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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.