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Finding the Third Proportional to 299,261 and 656,663

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Solution

The third proportional to 299,261 and 656,663 is: 1,440,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,261 : 656,663 = 656,663 : x
  2. Step 2: Convert to fraction form
    299,261/656,663 = 656,663/x
  3. Step 3: Cross multiply
    299,261x = 656,663 × 656,663
  4. Step 4: Simplify right side
    299,261x = 431,206,295,569
  5. Step 5: Solve for x
    x = 431,206,295,569/299,261
  6. Step 6: Final answer
    x = 1,440,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.