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Finding the Third Proportional to 291,225.66 and 441,349.31

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Solution

The third proportional to 291,225.66 and 441,349.31 is: 668,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,225.66 : 441,349.31 = 441,349.31 : x
  2. Step 2: Convert to fraction form
    291,225.66/441,349.31 = 441,349.31/x
  3. Step 3: Cross multiply
    291,225.66x = 441,349.31 × 441,349.31
  4. Step 4: Simplify right side
    291,225.66x = 194,789,215,644.22
  5. Step 5: Solve for x
    x = 194,789,215,644.22/291,225.66
  6. Step 6: Final answer
    x = 668,860.08

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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.