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Finding the Third Proportional to 297,711 and 648,951.75

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Solution

The third proportional to 297,711 and 648,951.75 is: 1,414,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,711 : 648,951.75 = 648,951.75 : x
  2. Step 2: Convert to fraction form
    297,711/648,951.75 = 648,951.75/x
  3. Step 3: Cross multiply
    297,711x = 648,951.75 × 648,951.75
  4. Step 4: Simplify right side
    297,711x = 421,138,373,828.06
  5. Step 5: Solve for x
    x = 421,138,373,828.06/297,711
  6. Step 6: Final answer
    x = 1,414,587.88

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