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Finding the Third Proportional to 291,098 and 441,570

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Solution

The third proportional to 291,098 and 441,570 is: 669,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,098 : 441,570 = 441,570 : x
  2. Step 2: Convert to fraction form
    291,098/441,570 = 441,570/x
  3. Step 3: Cross multiply
    291,098x = 441,570 × 441,570
  4. Step 4: Simplify right side
    291,098x = 194,984,064,900
  5. Step 5: Solve for x
    x = 194,984,064,900/291,098
  6. Step 6: Final answer
    x = 669,822.76

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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.