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Finding the Third Proportional to 291,227.63 and 441,352.13

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Solution

The third proportional to 291,227.63 and 441,352.13 is: 668,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,227.63 : 441,352.13 = 441,352.13 : x
  2. Step 2: Convert to fraction form
    291,227.63/441,352.13 = 441,352.13/x
  3. Step 3: Cross multiply
    291,227.63x = 441,352.13 × 441,352.13
  4. Step 4: Simplify right side
    291,227.63x = 194,791,698,242.02
  5. Step 5: Solve for x
    x = 194,791,698,242.02/291,227.63
  6. Step 6: Final answer
    x = 668,864.08

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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.