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Finding the Third Proportional to 214,521.75 and 465,948

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Solution

The third proportional to 214,521.75 and 465,948 is: 1,012,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,521.75 : 465,948 = 465,948 : x
  2. Step 2: Convert to fraction form
    214,521.75/465,948 = 465,948/x
  3. Step 3: Cross multiply
    214,521.75x = 465,948 × 465,948
  4. Step 4: Simplify right side
    214,521.75x = 217,107,538,704
  5. Step 5: Solve for x
    x = 217,107,538,704/214,521.75
  6. Step 6: Final answer
    x = 1,012,053.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.