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Finding the Third Proportional to 333,348.75 and 541,576.13

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Solution

The third proportional to 333,348.75 and 541,576.13 is: 879,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,348.75 : 541,576.13 = 541,576.13 : x
  2. Step 2: Convert to fraction form
    333,348.75/541,576.13 = 541,576.13/x
  3. Step 3: Cross multiply
    333,348.75x = 541,576.13 × 541,576.13
  4. Step 4: Simplify right side
    333,348.75x = 293,304,699,170.02
  5. Step 5: Solve for x
    x = 293,304,699,170.02/333,348.75
  6. Step 6: Final answer
    x = 879,873.40

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.