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Finding the Third Proportional to 314,442 and 471,879

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Solution

The third proportional to 314,442 and 471,879 is: 708,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,442 : 471,879 = 471,879 : x
  2. Step 2: Convert to fraction form
    314,442/471,879 = 471,879/x
  3. Step 3: Cross multiply
    314,442x = 471,879 × 471,879
  4. Step 4: Simplify right side
    314,442x = 222,669,790,641
  5. Step 5: Solve for x
    x = 222,669,790,641/314,442
  6. Step 6: Final answer
    x = 708,142.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.