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Finding the Third Proportional to 309,356 and 655,322

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Solution

The third proportional to 309,356 and 655,322 is: 1,388,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,356 : 655,322 = 655,322 : x
  2. Step 2: Convert to fraction form
    309,356/655,322 = 655,322/x
  3. Step 3: Cross multiply
    309,356x = 655,322 × 655,322
  4. Step 4: Simplify right side
    309,356x = 429,446,923,684
  5. Step 5: Solve for x
    x = 429,446,923,684/309,356
  6. Step 6: Final answer
    x = 1,388,196.52

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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.