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Finding the Third Proportional to 424,220.50 and 914,861

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Solution

The third proportional to 424,220.50 and 914,861 is: 1,972,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,220.50 : 914,861 = 914,861 : x
  2. Step 2: Convert to fraction form
    424,220.50/914,861 = 914,861/x
  3. Step 3: Cross multiply
    424,220.50x = 914,861 × 914,861
  4. Step 4: Simplify right side
    424,220.50x = 836,970,649,321
  5. Step 5: Solve for x
    x = 836,970,649,321/424,220.50
  6. Step 6: Final answer
    x = 1,972,961.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.