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Finding the Third Proportional to 297,464.25 and 453,166.88

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Solution

The third proportional to 297,464.25 and 453,166.88 is: 690,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,464.25 : 453,166.88 = 453,166.88 : x
  2. Step 2: Convert to fraction form
    297,464.25/453,166.88 = 453,166.88/x
  3. Step 3: Cross multiply
    297,464.25x = 453,166.88 × 453,166.88
  4. Step 4: Simplify right side
    297,464.25x = 205,360,216,597.27
  5. Step 5: Solve for x
    x = 205,360,216,597.27/297,464.25
  6. Step 6: Final answer
    x = 690,369.40

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Why These Related Problems?

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