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Finding the Third Proportional to 532,758 and 804,660

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Solution

The third proportional to 532,758 and 804,660 is: 1,215,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,758 : 804,660 = 804,660 : x
  2. Step 2: Convert to fraction form
    532,758/804,660 = 804,660/x
  3. Step 3: Cross multiply
    532,758x = 804,660 × 804,660
  4. Step 4: Simplify right side
    532,758x = 647,477,715,600
  5. Step 5: Solve for x
    x = 647,477,715,600/532,758
  6. Step 6: Final answer
    x = 1,215,331.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.