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Finding the Third Proportional to 317,185 and 665,508

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Solution

The third proportional to 317,185 and 665,508 is: 1,396,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,185 : 665,508 = 665,508 : x
  2. Step 2: Convert to fraction form
    317,185/665,508 = 665,508/x
  3. Step 3: Cross multiply
    317,185x = 665,508 × 665,508
  4. Step 4: Simplify right side
    317,185x = 442,900,898,064
  5. Step 5: Solve for x
    x = 442,900,898,064/317,185
  6. Step 6: Final answer
    x = 1,396,348.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.