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Finding the Third Proportional to 452,150 and 664,361

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Solution

The third proportional to 452,150 and 664,361 is: 976,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,150 : 664,361 = 664,361 : x
  2. Step 2: Convert to fraction form
    452,150/664,361 = 664,361/x
  3. Step 3: Cross multiply
    452,150x = 664,361 × 664,361
  4. Step 4: Simplify right side
    452,150x = 441,375,538,321
  5. Step 5: Solve for x
    x = 441,375,538,321/452,150
  6. Step 6: Final answer
    x = 976,170.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.