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Finding the Third Proportional to 291,253 and 441,390

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Solution

The third proportional to 291,253 and 441,390 is: 668,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,253 : 441,390 = 441,390 : x
  2. Step 2: Convert to fraction form
    291,253/441,390 = 441,390/x
  3. Step 3: Cross multiply
    291,253x = 441,390 × 441,390
  4. Step 4: Simplify right side
    291,253x = 194,825,132,100
  5. Step 5: Solve for x
    x = 194,825,132,100/291,253
  6. Step 6: Final answer
    x = 668,920.60

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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.