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Finding the Third Proportional to 291,097 and 441,569

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Solution

The third proportional to 291,097 and 441,569 is: 669,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,097 : 441,569 = 441,569 : x
  2. Step 2: Convert to fraction form
    291,097/441,569 = 441,569/x
  3. Step 3: Cross multiply
    291,097x = 441,569 × 441,569
  4. Step 4: Simplify right side
    291,097x = 194,983,181,761
  5. Step 5: Solve for x
    x = 194,983,181,761/291,097
  6. Step 6: Final answer
    x = 669,822.02

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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.