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Finding the Third Proportional to 313,748 and 471,338

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Solution

The third proportional to 313,748 and 471,338 is: 708,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,748 : 471,338 = 471,338 : x
  2. Step 2: Convert to fraction form
    313,748/471,338 = 471,338/x
  3. Step 3: Cross multiply
    313,748x = 471,338 × 471,338
  4. Step 4: Simplify right side
    313,748x = 222,159,510,244
  5. Step 5: Solve for x
    x = 222,159,510,244/313,748
  6. Step 6: Final answer
    x = 708,082.63

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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.