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Finding the Third Proportional to 297,448 and 649,052

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Solution

The third proportional to 297,448 and 649,052 is: 1,416,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,448 : 649,052 = 649,052 : x
  2. Step 2: Convert to fraction form
    297,448/649,052 = 649,052/x
  3. Step 3: Cross multiply
    297,448x = 649,052 × 649,052
  4. Step 4: Simplify right side
    297,448x = 421,268,498,704
  5. Step 5: Solve for x
    x = 421,268,498,704/297,448
  6. Step 6: Final answer
    x = 1,416,276.12

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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.