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Finding the Third Proportional to 501,961.50 and 736,202.25

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Solution

The third proportional to 501,961.50 and 736,202.25 is: 1,079,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,961.50 : 736,202.25 = 736,202.25 : x
  2. Step 2: Convert to fraction form
    501,961.50/736,202.25 = 736,202.25/x
  3. Step 3: Cross multiply
    501,961.50x = 736,202.25 × 736,202.25
  4. Step 4: Simplify right side
    501,961.50x = 541,993,752,905.06
  5. Step 5: Solve for x
    x = 541,993,752,905.06/501,961.50
  6. Step 6: Final answer
    x = 1,079,751.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.