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Finding the Third Proportional to 333,758.81 and 516,479.63

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Solution

The third proportional to 333,758.81 and 516,479.63 is: 799,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,758.81 : 516,479.63 = 516,479.63 : x
  2. Step 2: Convert to fraction form
    333,758.81/516,479.63 = 516,479.63/x
  3. Step 3: Cross multiply
    333,758.81x = 516,479.63 × 516,479.63
  4. Step 4: Simplify right side
    333,758.81x = 266,751,203,040.14
  5. Step 5: Solve for x
    x = 266,751,203,040.14/333,758.81
  6. Step 6: Final answer
    x = 799,233.44

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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.