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Finding the Third Proportional to 415,756 and 669,570

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Solution

The third proportional to 415,756 and 669,570 is: 1,078,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,756 : 669,570 = 669,570 : x
  2. Step 2: Convert to fraction form
    415,756/669,570 = 669,570/x
  3. Step 3: Cross multiply
    415,756x = 669,570 × 669,570
  4. Step 4: Simplify right side
    415,756x = 448,323,984,900
  5. Step 5: Solve for x
    x = 448,323,984,900/415,756
  6. Step 6: Final answer
    x = 1,078,334.37

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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.