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Finding the Third Proportional to 485,694 and 723,546

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Solution

The third proportional to 485,694 and 723,546 is: 1,077,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,694 : 723,546 = 723,546 : x
  2. Step 2: Convert to fraction form
    485,694/723,546 = 723,546/x
  3. Step 3: Cross multiply
    485,694x = 723,546 × 723,546
  4. Step 4: Simplify right side
    485,694x = 523,518,814,116
  5. Step 5: Solve for x
    x = 523,518,814,116/485,694
  6. Step 6: Final answer
    x = 1,077,877.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.