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Finding the Third Proportional to 580,448 and 879,436

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Solution

The third proportional to 580,448 and 879,436 is: 1,332,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,448 : 879,436 = 879,436 : x
  2. Step 2: Convert to fraction form
    580,448/879,436 = 879,436/x
  3. Step 3: Cross multiply
    580,448x = 879,436 × 879,436
  4. Step 4: Simplify right side
    580,448x = 773,407,678,096
  5. Step 5: Solve for x
    x = 773,407,678,096/580,448
  6. Step 6: Final answer
    x = 1,332,432.32

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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.