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Finding the Third Proportional to 580,206.38 and 896,553.56

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Solution

The third proportional to 580,206.38 and 896,553.56 is: 1,385,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,206.38 : 896,553.56 = 896,553.56 : x
  2. Step 2: Convert to fraction form
    580,206.38/896,553.56 = 896,553.56/x
  3. Step 3: Cross multiply
    580,206.38x = 896,553.56 × 896,553.56
  4. Step 4: Simplify right side
    580,206.38x = 803,808,290,431.44
  5. Step 5: Solve for x
    x = 803,808,290,431.44/580,206.38
  6. Step 6: Final answer
    x = 1,385,383.42

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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.