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Finding the Third Proportional to 602,288 and 880,771

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Solution

The third proportional to 602,288 and 880,771 is: 1,288,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,288 : 880,771 = 880,771 : x
  2. Step 2: Convert to fraction form
    602,288/880,771 = 880,771/x
  3. Step 3: Cross multiply
    602,288x = 880,771 × 880,771
  4. Step 4: Simplify right side
    602,288x = 775,757,554,441
  5. Step 5: Solve for x
    x = 775,757,554,441/602,288
  6. Step 6: Final answer
    x = 1,288,017.62

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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.