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Finding the Third Proportional to 568,950.75 and 1,210,308.75

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Solution

The third proportional to 568,950.75 and 1,210,308.75 is: 2,574,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,950.75 : 1,210,308.75 = 1,210,308.75 : x
  2. Step 2: Convert to fraction form
    568,950.75/1,210,308.75 = 1,210,308.75/x
  3. Step 3: Cross multiply
    568,950.75x = 1,210,308.75 × 1,210,308.75
  4. Step 4: Simplify right side
    568,950.75x = 1,464,847,270,326.56
  5. Step 5: Solve for x
    x = 1,464,847,270,326.56/568,950.75
  6. Step 6: Final answer
    x = 2,574,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.