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Finding the Third Proportional to 214,396.24 and 466,157.53

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Solution

The third proportional to 214,396.24 and 466,157.53 is: 1,013,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,396.24 : 466,157.53 = 466,157.53 : x
  2. Step 2: Convert to fraction form
    214,396.24/466,157.53 = 466,157.53/x
  3. Step 3: Cross multiply
    214,396.24x = 466,157.53 × 466,157.53
  4. Step 4: Simplify right side
    214,396.24x = 217,302,843,941.10
  5. Step 5: Solve for x
    x = 217,302,843,941.10/214,396.24
  6. Step 6: Final answer
    x = 1,013,557.15

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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.