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Finding the Third Proportional to 356,202.28 and 524,884.50

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Solution

The third proportional to 356,202.28 and 524,884.50 is: 773,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,202.28 : 524,884.50 = 524,884.50 : x
  2. Step 2: Convert to fraction form
    356,202.28/524,884.50 = 524,884.50/x
  3. Step 3: Cross multiply
    356,202.28x = 524,884.50 × 524,884.50
  4. Step 4: Simplify right side
    356,202.28x = 275,503,738,340.25
  5. Step 5: Solve for x
    x = 275,503,738,340.25/356,202.28
  6. Step 6: Final answer
    x = 773,447.43

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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.