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Finding the Third Proportional to 244,140 and 377,271

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Solution

The third proportional to 244,140 and 377,271 is: 582,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,140 : 377,271 = 377,271 : x
  2. Step 2: Convert to fraction form
    244,140/377,271 = 377,271/x
  3. Step 3: Cross multiply
    244,140x = 377,271 × 377,271
  4. Step 4: Simplify right side
    244,140x = 142,333,407,441
  5. Step 5: Solve for x
    x = 142,333,407,441/244,140
  6. Step 6: Final answer
    x = 582,999.13

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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.