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Finding the Third Proportional to 273,702 and 410,142

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Solution

The third proportional to 273,702 and 410,142 is: 614,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,702 : 410,142 = 410,142 : x
  2. Step 2: Convert to fraction form
    273,702/410,142 = 410,142/x
  3. Step 3: Cross multiply
    273,702x = 410,142 × 410,142
  4. Step 4: Simplify right side
    273,702x = 168,216,460,164
  5. Step 5: Solve for x
    x = 168,216,460,164/273,702
  6. Step 6: Final answer
    x = 614,597.12

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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.