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Finding the Third Proportional to 333,220.50 and 474,900

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Solution

The third proportional to 333,220.50 and 474,900 is: 676,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,220.50 : 474,900 = 474,900 : x
  2. Step 2: Convert to fraction form
    333,220.50/474,900 = 474,900/x
  3. Step 3: Cross multiply
    333,220.50x = 474,900 × 474,900
  4. Step 4: Simplify right side
    333,220.50x = 225,530,010,000
  5. Step 5: Solve for x
    x = 225,530,010,000/333,220.50
  6. Step 6: Final answer
    x = 676,819.13

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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.