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Finding the Third Proportional to 467,771 and 705,867

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Solution

The third proportional to 467,771 and 705,867 is: 1,065,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,771 : 705,867 = 705,867 : x
  2. Step 2: Convert to fraction form
    467,771/705,867 = 705,867/x
  3. Step 3: Cross multiply
    467,771x = 705,867 × 705,867
  4. Step 4: Simplify right side
    467,771x = 498,248,221,689
  5. Step 5: Solve for x
    x = 498,248,221,689/467,771
  6. Step 6: Final answer
    x = 1,065,154.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.