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Finding the Third Proportional to 262,311.75 and 405,060

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Solution

The third proportional to 262,311.75 and 405,060 is: 625,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,311.75 : 405,060 = 405,060 : x
  2. Step 2: Convert to fraction form
    262,311.75/405,060 = 405,060/x
  3. Step 3: Cross multiply
    262,311.75x = 405,060 × 405,060
  4. Step 4: Simplify right side
    262,311.75x = 164,073,603,600
  5. Step 5: Solve for x
    x = 164,073,603,600/262,311.75
  6. Step 6: Final answer
    x = 625,490.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.