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Finding the Third Proportional to 543,896 and 783,372

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Solution

The third proportional to 543,896 and 783,372 is: 1,128,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,896 : 783,372 = 783,372 : x
  2. Step 2: Convert to fraction form
    543,896/783,372 = 783,372/x
  3. Step 3: Cross multiply
    543,896x = 783,372 × 783,372
  4. Step 4: Simplify right side
    543,896x = 613,671,690,384
  5. Step 5: Solve for x
    x = 613,671,690,384/543,896
  6. Step 6: Final answer
    x = 1,128,288.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.