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Finding the Third Proportional to 353,322 and 766,422

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Solution

The third proportional to 353,322 and 766,422 is: 1,662,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,322 : 766,422 = 766,422 : x
  2. Step 2: Convert to fraction form
    353,322/766,422 = 766,422/x
  3. Step 3: Cross multiply
    353,322x = 766,422 × 766,422
  4. Step 4: Simplify right side
    353,322x = 587,402,682,084
  5. Step 5: Solve for x
    x = 587,402,682,084/353,322
  6. Step 6: Final answer
    x = 1,662,513.75

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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.