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Finding the Third Proportional to 566,097 and 825,813

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Solution

The third proportional to 566,097 and 825,813 is: 1,204,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,097 : 825,813 = 825,813 : x
  2. Step 2: Convert to fraction form
    566,097/825,813 = 825,813/x
  3. Step 3: Cross multiply
    566,097x = 825,813 × 825,813
  4. Step 4: Simplify right side
    566,097x = 681,967,110,969
  5. Step 5: Solve for x
    x = 681,967,110,969/566,097
  6. Step 6: Final answer
    x = 1,204,682.43

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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.