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Finding the Third Proportional to 322,616.67 and 474,564.05

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Solution

The third proportional to 322,616.67 and 474,564.05 is: 698,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,616.67 : 474,564.05 = 474,564.05 : x
  2. Step 2: Convert to fraction form
    322,616.67/474,564.05 = 474,564.05/x
  3. Step 3: Cross multiply
    322,616.67x = 474,564.05 × 474,564.05
  4. Step 4: Simplify right side
    322,616.67x = 225,211,037,367.02
  5. Step 5: Solve for x
    x = 225,211,037,367.02/322,616.67
  6. Step 6: Final answer
    x = 698,076.25

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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.