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Finding the Third Proportional to 602,287 and 880,770

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Solution

The third proportional to 602,287 and 880,770 is: 1,288,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,287 : 880,770 = 880,770 : x
  2. Step 2: Convert to fraction form
    602,287/880,770 = 880,770/x
  3. Step 3: Cross multiply
    602,287x = 880,770 × 880,770
  4. Step 4: Simplify right side
    602,287x = 775,755,792,900
  5. Step 5: Solve for x
    x = 775,755,792,900/602,287
  6. Step 6: Final answer
    x = 1,288,016.83

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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.