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Finding the Third Proportional to 299,214 and 655,653

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Solution

The third proportional to 299,214 and 655,653 is: 1,436,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,214 : 655,653 = 655,653 : x
  2. Step 2: Convert to fraction form
    299,214/655,653 = 655,653/x
  3. Step 3: Cross multiply
    299,214x = 655,653 × 655,653
  4. Step 4: Simplify right side
    299,214x = 429,880,856,409
  5. Step 5: Solve for x
    x = 429,880,856,409/299,214
  6. Step 6: Final answer
    x = 1,436,700.34

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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.