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Finding the Third Proportional to 297,755 and 649,046

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Solution

The third proportional to 297,755 and 649,046 is: 1,414,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,755 : 649,046 = 649,046 : x
  2. Step 2: Convert to fraction form
    297,755/649,046 = 649,046/x
  3. Step 3: Cross multiply
    297,755x = 649,046 × 649,046
  4. Step 4: Simplify right side
    297,755x = 421,260,710,116
  5. Step 5: Solve for x
    x = 421,260,710,116/297,755
  6. Step 6: Final answer
    x = 1,414,789.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.