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Finding the Third Proportional to 415,768 and 669,588

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Solution

The third proportional to 415,768 and 669,588 is: 1,078,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,768 : 669,588 = 669,588 : x
  2. Step 2: Convert to fraction form
    415,768/669,588 = 669,588/x
  3. Step 3: Cross multiply
    415,768x = 669,588 × 669,588
  4. Step 4: Simplify right side
    415,768x = 448,348,089,744
  5. Step 5: Solve for x
    x = 448,348,089,744/415,768
  6. Step 6: Final answer
    x = 1,078,361.22

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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.