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Finding the Third Proportional to 333,660.50 and 517,078

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Solution

The third proportional to 333,660.50 and 517,078 is: 801,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,660.50 : 517,078 = 517,078 : x
  2. Step 2: Convert to fraction form
    333,660.50/517,078 = 517,078/x
  3. Step 3: Cross multiply
    333,660.50x = 517,078 × 517,078
  4. Step 4: Simplify right side
    333,660.50x = 267,369,658,084
  5. Step 5: Solve for x
    x = 267,369,658,084/333,660.50
  6. Step 6: Final answer
    x = 801,322.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.