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Finding the Third Proportional to 498,242 and 773,612

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Solution

The third proportional to 498,242 and 773,612 is: 1,201,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,242 : 773,612 = 773,612 : x
  2. Step 2: Convert to fraction form
    498,242/773,612 = 773,612/x
  3. Step 3: Cross multiply
    498,242x = 773,612 × 773,612
  4. Step 4: Simplify right side
    498,242x = 598,475,526,544
  5. Step 5: Solve for x
    x = 598,475,526,544/498,242
  6. Step 6: Final answer
    x = 1,201,174.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.