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Finding the Third Proportional to 313,587 and 471,087

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Solution

The third proportional to 313,587 and 471,087 is: 707,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,587 : 471,087 = 471,087 : x
  2. Step 2: Convert to fraction form
    313,587/471,087 = 471,087/x
  3. Step 3: Cross multiply
    313,587x = 471,087 × 471,087
  4. Step 4: Simplify right side
    313,587x = 221,922,961,569
  5. Step 5: Solve for x
    x = 221,922,961,569/313,587
  6. Step 6: Final answer
    x = 707,691.84

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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.