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Finding the Third Proportional to 302,870 and 655,893

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Solution

The third proportional to 302,870 and 655,893 is: 1,420,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,870 : 655,893 = 655,893 : x
  2. Step 2: Convert to fraction form
    302,870/655,893 = 655,893/x
  3. Step 3: Cross multiply
    302,870x = 655,893 × 655,893
  4. Step 4: Simplify right side
    302,870x = 430,195,627,449
  5. Step 5: Solve for x
    x = 430,195,627,449/302,870
  6. Step 6: Final answer
    x = 1,420,396.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.