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Finding the Third Proportional to 499,565 and 741,625

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Solution

The third proportional to 499,565 and 741,625 is: 1,100,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,565 : 741,625 = 741,625 : x
  2. Step 2: Convert to fraction form
    499,565/741,625 = 741,625/x
  3. Step 3: Cross multiply
    499,565x = 741,625 × 741,625
  4. Step 4: Simplify right side
    499,565x = 550,007,640,625
  5. Step 5: Solve for x
    x = 550,007,640,625/499,565
  6. Step 6: Final answer
    x = 1,100,973.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.