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Finding the Third Proportional to 333,550 and 733,523

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Solution

The third proportional to 333,550 and 733,523 is: 1,613,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,550 : 733,523 = 733,523 : x
  2. Step 2: Convert to fraction form
    333,550/733,523 = 733,523/x
  3. Step 3: Cross multiply
    333,550x = 733,523 × 733,523
  4. Step 4: Simplify right side
    333,550x = 538,055,991,529
  5. Step 5: Solve for x
    x = 538,055,991,529/333,550
  6. Step 6: Final answer
    x = 1,613,119.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.