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Finding the Third Proportional to 313,877 and 471,518

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Solution

The third proportional to 313,877 and 471,518 is: 708,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,877 : 471,518 = 471,518 : x
  2. Step 2: Convert to fraction form
    313,877/471,518 = 471,518/x
  3. Step 3: Cross multiply
    313,877x = 471,518 × 471,518
  4. Step 4: Simplify right side
    313,877x = 222,329,224,324
  5. Step 5: Solve for x
    x = 222,329,224,324/313,877
  6. Step 6: Final answer
    x = 708,332.32

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