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Finding the Third Proportional to 360,916 and 783,344

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Solution

The third proportional to 360,916 and 783,344 is: 1,700,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,916 : 783,344 = 783,344 : x
  2. Step 2: Convert to fraction form
    360,916/783,344 = 783,344/x
  3. Step 3: Cross multiply
    360,916x = 783,344 × 783,344
  4. Step 4: Simplify right side
    360,916x = 613,627,822,336
  5. Step 5: Solve for x
    x = 613,627,822,336/360,916
  6. Step 6: Final answer
    x = 1,700,195.68

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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.