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Finding the Third Proportional to 291,291 and 441,447

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Solution

The third proportional to 291,291 and 441,447 is: 669,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,291 : 441,447 = 441,447 : x
  2. Step 2: Convert to fraction form
    291,291/441,447 = 441,447/x
  3. Step 3: Cross multiply
    291,291x = 441,447 × 441,447
  4. Step 4: Simplify right side
    291,291x = 194,875,453,809
  5. Step 5: Solve for x
    x = 194,875,453,809/291,291
  6. Step 6: Final answer
    x = 669,006.09

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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.