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Finding the Third Proportional to 295,524 and 468,027

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Solution

The third proportional to 295,524 and 468,027 is: 741,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,524 : 468,027 = 468,027 : x
  2. Step 2: Convert to fraction form
    295,524/468,027 = 468,027/x
  3. Step 3: Cross multiply
    295,524x = 468,027 × 468,027
  4. Step 4: Simplify right side
    295,524x = 219,049,272,729
  5. Step 5: Solve for x
    x = 219,049,272,729/295,524
  6. Step 6: Final answer
    x = 741,223.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.