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Finding the Third Proportional to 217,447.66 and 449,811.35

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Solution

The third proportional to 217,447.66 and 449,811.35 is: 930,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,447.66 : 449,811.35 = 449,811.35 : x
  2. Step 2: Convert to fraction form
    217,447.66/449,811.35 = 449,811.35/x
  3. Step 3: Cross multiply
    217,447.66x = 449,811.35 × 449,811.35
  4. Step 4: Simplify right side
    217,447.66x = 202,330,251,994.48
  5. Step 5: Solve for x
    x = 202,330,251,994.48/217,447.66
  6. Step 6: Final answer
    x = 930,477.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.