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Finding the Third Proportional to 352,442 and 783,364

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Solution

The third proportional to 352,442 and 783,364 is: 1,741,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,442 : 783,364 = 783,364 : x
  2. Step 2: Convert to fraction form
    352,442/783,364 = 783,364/x
  3. Step 3: Cross multiply
    352,442x = 783,364 × 783,364
  4. Step 4: Simplify right side
    352,442x = 613,659,156,496
  5. Step 5: Solve for x
    x = 613,659,156,496/352,442
  6. Step 6: Final answer
    x = 1,741,163.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.