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Finding the Third Proportional to 299,213 and 655,654

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Solution

The third proportional to 299,213 and 655,654 is: 1,436,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213 : 655,654 = 655,654 : x
  2. Step 2: Convert to fraction form
    299,213/655,654 = 655,654/x
  3. Step 3: Cross multiply
    299,213x = 655,654 × 655,654
  4. Step 4: Simplify right side
    299,213x = 429,882,167,716
  5. Step 5: Solve for x
    x = 429,882,167,716/299,213
  6. Step 6: Final answer
    x = 1,436,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.