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Finding the Third Proportional to 467,750 and 705,855

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Solution

The third proportional to 467,750 and 705,855 is: 1,065,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,750 : 705,855 = 705,855 : x
  2. Step 2: Convert to fraction form
    467,750/705,855 = 705,855/x
  3. Step 3: Cross multiply
    467,750x = 705,855 × 705,855
  4. Step 4: Simplify right side
    467,750x = 498,231,281,025
  5. Step 5: Solve for x
    x = 498,231,281,025/467,750
  6. Step 6: Final answer
    x = 1,065,165.75

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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.