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Finding the Third Proportional to 297,752.25 and 649,041

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Solution

The third proportional to 297,752.25 and 649,041 is: 1,414,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,752.25 : 649,041 = 649,041 : x
  2. Step 2: Convert to fraction form
    297,752.25/649,041 = 649,041/x
  3. Step 3: Cross multiply
    297,752.25x = 649,041 × 649,041
  4. Step 4: Simplify right side
    297,752.25x = 421,254,219,681
  5. Step 5: Solve for x
    x = 421,254,219,681/297,752.25
  6. Step 6: Final answer
    x = 1,414,780.98

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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.