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Finding the Third Proportional to 297,786 and 648,060

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Solution

The third proportional to 297,786 and 648,060 is: 1,410,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,786 : 648,060 = 648,060 : x
  2. Step 2: Convert to fraction form
    297,786/648,060 = 648,060/x
  3. Step 3: Cross multiply
    297,786x = 648,060 × 648,060
  4. Step 4: Simplify right side
    297,786x = 419,981,763,600
  5. Step 5: Solve for x
    x = 419,981,763,600/297,786
  6. Step 6: Final answer
    x = 1,410,347.58

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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.