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Finding the Third Proportional to 297,722.25 and 453,552.75

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Solution

The third proportional to 297,722.25 and 453,552.75 is: 690,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,722.25 : 453,552.75 = 453,552.75 : x
  2. Step 2: Convert to fraction form
    297,722.25/453,552.75 = 453,552.75/x
  3. Step 3: Cross multiply
    297,722.25x = 453,552.75 × 453,552.75
  4. Step 4: Simplify right side
    297,722.25x = 205,710,097,032.56
  5. Step 5: Solve for x
    x = 205,710,097,032.56/297,722.25
  6. Step 6: Final answer
    x = 690,946.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.