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Finding the Third Proportional to 473,750 and 728,922

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Solution

The third proportional to 473,750 and 728,922 is: 1,121,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,750 : 728,922 = 728,922 : x
  2. Step 2: Convert to fraction form
    473,750/728,922 = 728,922/x
  3. Step 3: Cross multiply
    473,750x = 728,922 × 728,922
  4. Step 4: Simplify right side
    473,750x = 531,327,282,084
  5. Step 5: Solve for x
    x = 531,327,282,084/473,750
  6. Step 6: Final answer
    x = 1,121,535.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.