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Finding the Third Proportional to 408,488.63 and 897,608.25

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Solution

The third proportional to 408,488.63 and 897,608.25 is: 1,972,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,488.63 : 897,608.25 = 897,608.25 : x
  2. Step 2: Convert to fraction form
    408,488.63/897,608.25 = 897,608.25/x
  3. Step 3: Cross multiply
    408,488.63x = 897,608.25 × 897,608.25
  4. Step 4: Simplify right side
    408,488.63x = 805,700,570,468.06
  5. Step 5: Solve for x
    x = 805,700,570,468.06/408,488.63
  6. Step 6: Final answer
    x = 1,972,394.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.