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Finding the Third Proportional to 291,232.69 and 441,359.72

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Solution

The third proportional to 291,232.69 and 441,359.72 is: 668,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,232.69 : 441,359.72 = 441,359.72 : x
  2. Step 2: Convert to fraction form
    291,232.69/441,359.72 = 441,359.72/x
  3. Step 3: Cross multiply
    291,232.69x = 441,359.72 × 441,359.72
  4. Step 4: Simplify right side
    291,232.69x = 194,798,401,335.08
  5. Step 5: Solve for x
    x = 194,798,401,335.08/291,232.69
  6. Step 6: Final answer
    x = 668,875.47

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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.