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Finding the Third Proportional to 291,240 and 441,371

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Solution

The third proportional to 291,240 and 441,371 is: 668,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,240 : 441,371 = 441,371 : x
  2. Step 2: Convert to fraction form
    291,240/441,371 = 441,371/x
  3. Step 3: Cross multiply
    291,240x = 441,371 × 441,371
  4. Step 4: Simplify right side
    291,240x = 194,808,359,641
  5. Step 5: Solve for x
    x = 194,808,359,641/291,240
  6. Step 6: Final answer
    x = 668,892.87

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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.