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Finding the Third Proportional to 484,496 and 743,693

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Solution

The third proportional to 484,496 and 743,693 is: 1,141,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,496 : 743,693 = 743,693 : x
  2. Step 2: Convert to fraction form
    484,496/743,693 = 743,693/x
  3. Step 3: Cross multiply
    484,496x = 743,693 × 743,693
  4. Step 4: Simplify right side
    484,496x = 553,079,278,249
  5. Step 5: Solve for x
    x = 553,079,278,249/484,496
  6. Step 6: Final answer
    x = 1,141,555.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.