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Finding the Third Proportional to 309,345 and 655,302

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Solution

The third proportional to 309,345 and 655,302 is: 1,388,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,345 : 655,302 = 655,302 : x
  2. Step 2: Convert to fraction form
    309,345/655,302 = 655,302/x
  3. Step 3: Cross multiply
    309,345x = 655,302 × 655,302
  4. Step 4: Simplify right side
    309,345x = 429,420,711,204
  5. Step 5: Solve for x
    x = 429,420,711,204/309,345
  6. Step 6: Final answer
    x = 1,388,161.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.