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Finding the Third Proportional to 498,249 and 773,604

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Solution

The third proportional to 498,249 and 773,604 is: 1,201,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,249 : 773,604 = 773,604 : x
  2. Step 2: Convert to fraction form
    498,249/773,604 = 773,604/x
  3. Step 3: Cross multiply
    498,249x = 773,604 × 773,604
  4. Step 4: Simplify right side
    498,249x = 598,463,148,816
  5. Step 5: Solve for x
    x = 598,463,148,816/498,249
  6. Step 6: Final answer
    x = 1,201,132.66

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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.