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Finding the Third Proportional to 349,340 and 752,196

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Solution

The third proportional to 349,340 and 752,196 is: 1,619,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,340 : 752,196 = 752,196 : x
  2. Step 2: Convert to fraction form
    349,340/752,196 = 752,196/x
  3. Step 3: Cross multiply
    349,340x = 752,196 × 752,196
  4. Step 4: Simplify right side
    349,340x = 565,798,822,416
  5. Step 5: Solve for x
    x = 565,798,822,416/349,340
  6. Step 6: Final answer
    x = 1,619,622.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.