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Finding the Third Proportional to 354,310 and 755,922

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Solution

The third proportional to 354,310 and 755,922 is: 1,612,763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,310 : 755,922 = 755,922 : x
  2. Step 2: Convert to fraction form
    354,310/755,922 = 755,922/x
  3. Step 3: Cross multiply
    354,310x = 755,922 × 755,922
  4. Step 4: Simplify right side
    354,310x = 571,418,070,084
  5. Step 5: Solve for x
    x = 571,418,070,084/354,310
  6. Step 6: Final answer
    x = 1,612,763.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.