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Finding the Third Proportional to 519,353.25 and 776,954.25

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Solution

The third proportional to 519,353.25 and 776,954.25 is: 1,162,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,353.25 : 776,954.25 = 776,954.25 : x
  2. Step 2: Convert to fraction form
    519,353.25/776,954.25 = 776,954.25/x
  3. Step 3: Cross multiply
    519,353.25x = 776,954.25 × 776,954.25
  4. Step 4: Simplify right side
    519,353.25x = 603,657,906,593.06
  5. Step 5: Solve for x
    x = 603,657,906,593.06/519,353.25
  6. Step 6: Final answer
    x = 1,162,326.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.