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Finding the Third Proportional to 333,406.13 and 517,033.13

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Solution

The third proportional to 333,406.13 and 517,033.13 is: 801,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,406.13 : 517,033.13 = 517,033.13 : x
  2. Step 2: Convert to fraction form
    333,406.13/517,033.13 = 517,033.13/x
  3. Step 3: Cross multiply
    333,406.13x = 517,033.13 × 517,033.13
  4. Step 4: Simplify right side
    333,406.13x = 267,323,252,347.27
  5. Step 5: Solve for x
    x = 267,323,252,347.27/333,406.13
  6. Step 6: Final answer
    x = 801,794.67

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Why These Related Problems?

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