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Finding the Third Proportional to 299,230 and 654,764

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Solution

The third proportional to 299,230 and 654,764 is: 1,432,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,230 : 654,764 = 654,764 : x
  2. Step 2: Convert to fraction form
    299,230/654,764 = 654,764/x
  3. Step 3: Cross multiply
    299,230x = 654,764 × 654,764
  4. Step 4: Simplify right side
    299,230x = 428,715,895,696
  5. Step 5: Solve for x
    x = 428,715,895,696/299,230
  6. Step 6: Final answer
    x = 1,432,730.33

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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.