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Finding the Third Proportional to 652,720 and 950,676

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Solution

The third proportional to 652,720 and 950,676 is: 1,384,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,720 : 950,676 = 950,676 : x
  2. Step 2: Convert to fraction form
    652,720/950,676 = 950,676/x
  3. Step 3: Cross multiply
    652,720x = 950,676 × 950,676
  4. Step 4: Simplify right side
    652,720x = 903,784,856,976
  5. Step 5: Solve for x
    x = 903,784,856,976/652,720
  6. Step 6: Final answer
    x = 1,384,644.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.