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Finding the Third Proportional to 286,011 and 419,451.75

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Solution

The third proportional to 286,011 and 419,451.75 is: 615,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011 : 419,451.75 = 419,451.75 : x
  2. Step 2: Convert to fraction form
    286,011/419,451.75 = 419,451.75/x
  3. Step 3: Cross multiply
    286,011x = 419,451.75 × 419,451.75
  4. Step 4: Simplify right side
    286,011x = 175,939,770,578.06
  5. Step 5: Solve for x
    x = 175,939,770,578.06/286,011
  6. Step 6: Final answer
    x = 615,150.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.