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Finding the Third Proportional to 367,633 and 577,694

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Solution

The third proportional to 367,633 and 577,694 is: 907,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,633 : 577,694 = 577,694 : x
  2. Step 2: Convert to fraction form
    367,633/577,694 = 577,694/x
  3. Step 3: Cross multiply
    367,633x = 577,694 × 577,694
  4. Step 4: Simplify right side
    367,633x = 333,730,357,636
  5. Step 5: Solve for x
    x = 333,730,357,636/367,633
  6. Step 6: Final answer
    x = 907,781.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.