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Finding the Third Proportional to 214,593 and 465,024

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Solution

The third proportional to 214,593 and 465,024 is: 1,007,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,593 : 465,024 = 465,024 : x
  2. Step 2: Convert to fraction form
    214,593/465,024 = 465,024/x
  3. Step 3: Cross multiply
    214,593x = 465,024 × 465,024
  4. Step 4: Simplify right side
    214,593x = 216,247,320,576
  5. Step 5: Solve for x
    x = 216,247,320,576/214,593
  6. Step 6: Final answer
    x = 1,007,709.11

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Why These Related Problems?

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