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Finding the Third Proportional to 333,351 and 508,227

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Solution

The third proportional to 333,351 and 508,227 is: 774,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,351 : 508,227 = 508,227 : x
  2. Step 2: Convert to fraction form
    333,351/508,227 = 508,227/x
  3. Step 3: Cross multiply
    333,351x = 508,227 × 508,227
  4. Step 4: Simplify right side
    333,351x = 258,294,683,529
  5. Step 5: Solve for x
    x = 258,294,683,529/333,351
  6. Step 6: Final answer
    x = 774,842.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.