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Finding the Third Proportional to 333,046.50 and 521,885.25

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Solution

The third proportional to 333,046.50 and 521,885.25 is: 817,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,046.50 : 521,885.25 = 521,885.25 : x
  2. Step 2: Convert to fraction form
    333,046.50/521,885.25 = 521,885.25/x
  3. Step 3: Cross multiply
    333,046.50x = 521,885.25 × 521,885.25
  4. Step 4: Simplify right side
    333,046.50x = 272,364,214,167.56
  5. Step 5: Solve for x
    x = 272,364,214,167.56/333,046.50
  6. Step 6: Final answer
    x = 817,796.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.