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Finding the Third Proportional to 318,122 and 686,084

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Solution

The third proportional to 318,122 and 686,084 is: 1,479,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,122 : 686,084 = 686,084 : x
  2. Step 2: Convert to fraction form
    318,122/686,084 = 686,084/x
  3. Step 3: Cross multiply
    318,122x = 686,084 × 686,084
  4. Step 4: Simplify right side
    318,122x = 470,711,255,056
  5. Step 5: Solve for x
    x = 470,711,255,056/318,122
  6. Step 6: Final answer
    x = 1,479,656.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.