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Finding the Third Proportional to 580,564 and 879,593

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Solution

The third proportional to 580,564 and 879,593 is: 1,332,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,564 : 879,593 = 879,593 : x
  2. Step 2: Convert to fraction form
    580,564/879,593 = 879,593/x
  3. Step 3: Cross multiply
    580,564x = 879,593 × 879,593
  4. Step 4: Simplify right side
    580,564x = 773,683,845,649
  5. Step 5: Solve for x
    x = 773,683,845,649/580,564
  6. Step 6: Final answer
    x = 1,332,641.79

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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.