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Finding the Third Proportional to 237,692 and 518,032

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Solution

The third proportional to 237,692 and 518,032 is: 1,129,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,692 : 518,032 = 518,032 : x
  2. Step 2: Convert to fraction form
    237,692/518,032 = 518,032/x
  3. Step 3: Cross multiply
    237,692x = 518,032 × 518,032
  4. Step 4: Simplify right side
    237,692x = 268,357,153,024
  5. Step 5: Solve for x
    x = 268,357,153,024/237,692
  6. Step 6: Final answer
    x = 1,129,012.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.