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Finding the Third Proportional to 291,259 and 441,399

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Solution

The third proportional to 291,259 and 441,399 is: 668,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,259 : 441,399 = 441,399 : x
  2. Step 2: Convert to fraction form
    291,259/441,399 = 441,399/x
  3. Step 3: Cross multiply
    291,259x = 441,399 × 441,399
  4. Step 4: Simplify right side
    291,259x = 194,833,077,201
  5. Step 5: Solve for x
    x = 194,833,077,201/291,259
  6. Step 6: Final answer
    x = 668,934.10

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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.