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Finding the Third Proportional to 519,484.50 and 797,949

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Solution

The third proportional to 519,484.50 and 797,949 is: 1,225,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,484.50 : 797,949 = 797,949 : x
  2. Step 2: Convert to fraction form
    519,484.50/797,949 = 797,949/x
  3. Step 3: Cross multiply
    519,484.50x = 797,949 × 797,949
  4. Step 4: Simplify right side
    519,484.50x = 636,722,606,601
  5. Step 5: Solve for x
    x = 636,722,606,601/519,484.50
  6. Step 6: Final answer
    x = 1,225,681.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.