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Finding the Third Proportional to 214,446.50 and 458,342

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Solution

The third proportional to 214,446.50 and 458,342 is: 979,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,446.50 : 458,342 = 458,342 : x
  2. Step 2: Convert to fraction form
    214,446.50/458,342 = 458,342/x
  3. Step 3: Cross multiply
    214,446.50x = 458,342 × 458,342
  4. Step 4: Simplify right side
    214,446.50x = 210,077,388,964
  5. Step 5: Solve for x
    x = 210,077,388,964/214,446.50
  6. Step 6: Final answer
    x = 979,626.10

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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.