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Finding the Third Proportional to 408,971.32 and 873,606.73

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Solution

The third proportional to 408,971.32 and 873,606.73 is: 1,866,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,971.32 : 873,606.73 = 873,606.73 : x
  2. Step 2: Convert to fraction form
    408,971.32/873,606.73 = 873,606.73/x
  3. Step 3: Cross multiply
    408,971.32x = 873,606.73 × 873,606.73
  4. Step 4: Simplify right side
    408,971.32x = 763,188,712,695.21
  5. Step 5: Solve for x
    x = 763,188,712,695.21/408,971.32
  6. Step 6: Final answer
    x = 1,866,117.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.