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Finding the Third Proportional to 333,259.50 and 476,225

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Solution

The third proportional to 333,259.50 and 476,225 is: 680,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,259.50 : 476,225 = 476,225 : x
  2. Step 2: Convert to fraction form
    333,259.50/476,225 = 476,225/x
  3. Step 3: Cross multiply
    333,259.50x = 476,225 × 476,225
  4. Step 4: Simplify right side
    333,259.50x = 226,790,250,625
  5. Step 5: Solve for x
    x = 226,790,250,625/333,259.50
  6. Step 6: Final answer
    x = 680,521.49

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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.