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Finding the Third Proportional to 264,932 and 372,124

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Solution

The third proportional to 264,932 and 372,124 is: 522,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932 : 372,124 = 372,124 : x
  2. Step 2: Convert to fraction form
    264,932/372,124 = 372,124/x
  3. Step 3: Cross multiply
    264,932x = 372,124 × 372,124
  4. Step 4: Simplify right side
    264,932x = 138,476,271,376
  5. Step 5: Solve for x
    x = 138,476,271,376/264,932
  6. Step 6: Final answer
    x = 522,686.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.