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Finding the Third Proportional to 399,505.50 and 538,258.50

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Solution

The third proportional to 399,505.50 and 538,258.50 is: 725,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,505.50 : 538,258.50 = 538,258.50 : x
  2. Step 2: Convert to fraction form
    399,505.50/538,258.50 = 538,258.50/x
  3. Step 3: Cross multiply
    399,505.50x = 538,258.50 × 538,258.50
  4. Step 4: Simplify right side
    399,505.50x = 289,722,212,822.25
  5. Step 5: Solve for x
    x = 289,722,212,822.25/399,505.50
  6. Step 6: Final answer
    x = 725,202.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.