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Finding the Third Proportional to 214,674 and 466,253.50

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Solution

The third proportional to 214,674 and 466,253.50 is: 1,012,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,674 : 466,253.50 = 466,253.50 : x
  2. Step 2: Convert to fraction form
    214,674/466,253.50 = 466,253.50/x
  3. Step 3: Cross multiply
    214,674x = 466,253.50 × 466,253.50
  4. Step 4: Simplify right side
    214,674x = 217,392,326,262.25
  5. Step 5: Solve for x
    x = 217,392,326,262.25/214,674
  6. Step 6: Final answer
    x = 1,012,662.58

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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.