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Finding the Third Proportional to 602,285 and 880,767

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Solution

The third proportional to 602,285 and 880,767 is: 1,288,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,285 : 880,767 = 880,767 : x
  2. Step 2: Convert to fraction form
    602,285/880,767 = 880,767/x
  3. Step 3: Cross multiply
    602,285x = 880,767 × 880,767
  4. Step 4: Simplify right side
    602,285x = 775,750,508,289
  5. Step 5: Solve for x
    x = 775,750,508,289/602,285
  6. Step 6: Final answer
    x = 1,288,012.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.