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Finding the Third Proportional to 349,262 and 767,108

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Solution

The third proportional to 349,262 and 767,108 is: 1,684,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,262 : 767,108 = 767,108 : x
  2. Step 2: Convert to fraction form
    349,262/767,108 = 767,108/x
  3. Step 3: Cross multiply
    349,262x = 767,108 × 767,108
  4. Step 4: Simplify right side
    349,262x = 588,454,683,664
  5. Step 5: Solve for x
    x = 588,454,683,664/349,262
  6. Step 6: Final answer
    x = 1,684,851.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.