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Finding the Third Proportional to 217,802.25 and 467,132.63

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Solution

The third proportional to 217,802.25 and 467,132.63 is: 1,001,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,802.25 : 467,132.63 = 467,132.63 : x
  2. Step 2: Convert to fraction form
    217,802.25/467,132.63 = 467,132.63/x
  3. Step 3: Cross multiply
    217,802.25x = 467,132.63 × 467,132.63
  4. Step 4: Simplify right side
    217,802.25x = 218,212,889,339.39
  5. Step 5: Solve for x
    x = 218,212,889,339.39/217,802.25
  6. Step 6: Final answer
    x = 1,001,885.38

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