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Finding the Third Proportional to 354,068 and 767,156

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Solution

The third proportional to 354,068 and 767,156 is: 1,662,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,068 : 767,156 = 767,156 : x
  2. Step 2: Convert to fraction form
    354,068/767,156 = 767,156/x
  3. Step 3: Cross multiply
    354,068x = 767,156 × 767,156
  4. Step 4: Simplify right side
    354,068x = 588,528,328,336
  5. Step 5: Solve for x
    x = 588,528,328,336/354,068
  6. Step 6: Final answer
    x = 1,662,190.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.