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Finding the Third Proportional to 498,538 and 773,415

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Solution

The third proportional to 498,538 and 773,415 is: 1,199,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,538 : 773,415 = 773,415 : x
  2. Step 2: Convert to fraction form
    498,538/773,415 = 773,415/x
  3. Step 3: Cross multiply
    498,538x = 773,415 × 773,415
  4. Step 4: Simplify right side
    498,538x = 598,170,762,225
  5. Step 5: Solve for x
    x = 598,170,762,225/498,538
  6. Step 6: Final answer
    x = 1,199,849.89

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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.