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Finding the Third Proportional to 580,124 and 896,425

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Solution

The third proportional to 580,124 and 896,425 is: 1,385,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,124 : 896,425 = 896,425 : x
  2. Step 2: Convert to fraction form
    580,124/896,425 = 896,425/x
  3. Step 3: Cross multiply
    580,124x = 896,425 × 896,425
  4. Step 4: Simplify right side
    580,124x = 803,577,780,625
  5. Step 5: Solve for x
    x = 803,577,780,625/580,124
  6. Step 6: Final answer
    x = 1,385,182.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.