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Finding the Third Proportional to 500,098.50 and 750,201.75

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Solution

The third proportional to 500,098.50 and 750,201.75 is: 1,125,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,098.50 : 750,201.75 = 750,201.75 : x
  2. Step 2: Convert to fraction form
    500,098.50/750,201.75 = 750,201.75/x
  3. Step 3: Cross multiply
    500,098.50x = 750,201.75 × 750,201.75
  4. Step 4: Simplify right side
    500,098.50x = 562,802,665,703.06
  5. Step 5: Solve for x
    x = 562,802,665,703.06/500,098.50
  6. Step 6: Final answer
    x = 1,125,383.63

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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.