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Finding the Third Proportional to 366,948 and 767,186

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Solution

The third proportional to 366,948 and 767,186 is: 1,603,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,948 : 767,186 = 767,186 : x
  2. Step 2: Convert to fraction form
    366,948/767,186 = 767,186/x
  3. Step 3: Cross multiply
    366,948x = 767,186 × 767,186
  4. Step 4: Simplify right side
    366,948x = 588,574,358,596
  5. Step 5: Solve for x
    x = 588,574,358,596/366,948
  6. Step 6: Final answer
    x = 1,603,972.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.