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Finding the Third Proportional to 364,920 and 801,756

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Solution

The third proportional to 364,920 and 801,756 is: 1,761,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,920 : 801,756 = 801,756 : x
  2. Step 2: Convert to fraction form
    364,920/801,756 = 801,756/x
  3. Step 3: Cross multiply
    364,920x = 801,756 × 801,756
  4. Step 4: Simplify right side
    364,920x = 642,812,683,536
  5. Step 5: Solve for x
    x = 642,812,683,536/364,920
  6. Step 6: Final answer
    x = 1,761,516.73

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Why These Related Problems?

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