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Finding the Third Proportional to 566,110 and 825,828

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Solution

The third proportional to 566,110 and 825,828 is: 1,204,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,110 : 825,828 = 825,828 : x
  2. Step 2: Convert to fraction form
    566,110/825,828 = 825,828/x
  3. Step 3: Cross multiply
    566,110x = 825,828 × 825,828
  4. Step 4: Simplify right side
    566,110x = 681,991,885,584
  5. Step 5: Solve for x
    x = 681,991,885,584/566,110
  6. Step 6: Final answer
    x = 1,204,698.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.