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Finding the Third Proportional to 521,125 and 825,852

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Solution

The third proportional to 521,125 and 825,852 is: 1,308,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,125 : 825,852 = 825,852 : x
  2. Step 2: Convert to fraction form
    521,125/825,852 = 825,852/x
  3. Step 3: Cross multiply
    521,125x = 825,852 × 825,852
  4. Step 4: Simplify right side
    521,125x = 682,031,525,904
  5. Step 5: Solve for x
    x = 682,031,525,904/521,125
  6. Step 6: Final answer
    x = 1,308,767.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.