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Finding the Third Proportional to 244,134 and 377,262

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Solution

The third proportional to 244,134 and 377,262 is: 582,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,134 : 377,262 = 377,262 : x
  2. Step 2: Convert to fraction form
    244,134/377,262 = 377,262/x
  3. Step 3: Cross multiply
    244,134x = 377,262 × 377,262
  4. Step 4: Simplify right side
    244,134x = 142,326,616,644
  5. Step 5: Solve for x
    x = 142,326,616,644/244,134
  6. Step 6: Final answer
    x = 582,985.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.