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Finding the Third Proportional to 415,645 and 669,367

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Solution

The third proportional to 415,645 and 669,367 is: 1,077,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,645 : 669,367 = 669,367 : x
  2. Step 2: Convert to fraction form
    415,645/669,367 = 669,367/x
  3. Step 3: Cross multiply
    415,645x = 669,367 × 669,367
  4. Step 4: Simplify right side
    415,645x = 448,052,180,689
  5. Step 5: Solve for x
    x = 448,052,180,689/415,645
  6. Step 6: Final answer
    x = 1,077,968.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.