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Finding the Third Proportional to 582,550 and 787,062

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Solution

The third proportional to 582,550 and 787,062 is: 1,063,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,550 : 787,062 = 787,062 : x
  2. Step 2: Convert to fraction form
    582,550/787,062 = 787,062/x
  3. Step 3: Cross multiply
    582,550x = 787,062 × 787,062
  4. Step 4: Simplify right side
    582,550x = 619,466,591,844
  5. Step 5: Solve for x
    x = 619,466,591,844/582,550
  6. Step 6: Final answer
    x = 1,063,370.68

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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.