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Finding the Third Proportional to 333,121.50 and 474,770.25

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Solution

The third proportional to 333,121.50 and 474,770.25 is: 676,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,121.50 : 474,770.25 = 474,770.25 : x
  2. Step 2: Convert to fraction form
    333,121.50/474,770.25 = 474,770.25/x
  3. Step 3: Cross multiply
    333,121.50x = 474,770.25 × 474,770.25
  4. Step 4: Simplify right side
    333,121.50x = 225,406,790,285.06
  5. Step 5: Solve for x
    x = 225,406,790,285.06/333,121.50
  6. Step 6: Final answer
    x = 676,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.