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Finding the Third Proportional to 521,127 and 757,941

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Solution

The third proportional to 521,127 and 757,941 is: 1,102,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,127 : 757,941 = 757,941 : x
  2. Step 2: Convert to fraction form
    521,127/757,941 = 757,941/x
  3. Step 3: Cross multiply
    521,127x = 757,941 × 757,941
  4. Step 4: Simplify right side
    521,127x = 574,474,559,481
  5. Step 5: Solve for x
    x = 574,474,559,481/521,127
  6. Step 6: Final answer
    x = 1,102,369.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.