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Finding the Third Proportional to 352,444 and 783,368

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Solution

The third proportional to 352,444 and 783,368 is: 1,741,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,444 : 783,368 = 783,368 : x
  2. Step 2: Convert to fraction form
    352,444/783,368 = 783,368/x
  3. Step 3: Cross multiply
    352,444x = 783,368 × 783,368
  4. Step 4: Simplify right side
    352,444x = 613,665,423,424
  5. Step 5: Solve for x
    x = 613,665,423,424/352,444
  6. Step 6: Final answer
    x = 1,741,171.43

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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.