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Finding the Third Proportional to 423,537.75 and 825,795

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Solution

The third proportional to 423,537.75 and 825,795 is: 1,610,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,537.75 : 825,795 = 825,795 : x
  2. Step 2: Convert to fraction form
    423,537.75/825,795 = 825,795/x
  3. Step 3: Cross multiply
    423,537.75x = 825,795 × 825,795
  4. Step 4: Simplify right side
    423,537.75x = 681,937,382,025
  5. Step 5: Solve for x
    x = 681,937,382,025/423,537.75
  6. Step 6: Final answer
    x = 1,610,098.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.