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Finding the Third Proportional to 517,422 and 772,941

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Solution

The third proportional to 517,422 and 772,941 is: 1,154,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,422 : 772,941 = 772,941 : x
  2. Step 2: Convert to fraction form
    517,422/772,941 = 772,941/x
  3. Step 3: Cross multiply
    517,422x = 772,941 × 772,941
  4. Step 4: Simplify right side
    517,422x = 597,437,789,481
  5. Step 5: Solve for x
    x = 597,437,789,481/517,422
  6. Step 6: Final answer
    x = 1,154,643.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.