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Finding the Third Proportional to 322,069.50 and 472,000.50

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Solution

The third proportional to 322,069.50 and 472,000.50 is: 691,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,069.50 : 472,000.50 = 472,000.50 : x
  2. Step 2: Convert to fraction form
    322,069.50/472,000.50 = 472,000.50/x
  3. Step 3: Cross multiply
    322,069.50x = 472,000.50 × 472,000.50
  4. Step 4: Simplify right side
    322,069.50x = 222,784,472,000.25
  5. Step 5: Solve for x
    x = 222,784,472,000.25/322,069.50
  6. Step 6: Final answer
    x = 691,727.94

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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.