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Finding the Third Proportional to 273,703 and 410,143

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Solution

The third proportional to 273,703 and 410,143 is: 614,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,703 : 410,143 = 410,143 : x
  2. Step 2: Convert to fraction form
    273,703/410,143 = 410,143/x
  3. Step 3: Cross multiply
    273,703x = 410,143 × 410,143
  4. Step 4: Simplify right side
    273,703x = 168,217,280,449
  5. Step 5: Solve for x
    x = 168,217,280,449/273,703
  6. Step 6: Final answer
    x = 614,597.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.