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Finding the Third Proportional to 574,612 and 772,974

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Solution

The third proportional to 574,612 and 772,974 is: 1,039,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,612 : 772,974 = 772,974 : x
  2. Step 2: Convert to fraction form
    574,612/772,974 = 772,974/x
  3. Step 3: Cross multiply
    574,612x = 772,974 × 772,974
  4. Step 4: Simplify right side
    574,612x = 597,488,804,676
  5. Step 5: Solve for x
    x = 597,488,804,676/574,612
  6. Step 6: Final answer
    x = 1,039,812.61

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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.