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Finding the Third Proportional to 580,554 and 879,588

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Solution

The third proportional to 580,554 and 879,588 is: 1,332,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,554 : 879,588 = 879,588 : x
  2. Step 2: Convert to fraction form
    580,554/879,588 = 879,588/x
  3. Step 3: Cross multiply
    580,554x = 879,588 × 879,588
  4. Step 4: Simplify right side
    580,554x = 773,675,049,744
  5. Step 5: Solve for x
    x = 773,675,049,744/580,554
  6. Step 6: Final answer
    x = 1,332,649.59

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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.