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Finding the Third Proportional to 262,467.84 and 393,908.06

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Solution

The third proportional to 262,467.84 and 393,908.06 is: 591,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,467.84 : 393,908.06 = 393,908.06 : x
  2. Step 2: Convert to fraction form
    262,467.84/393,908.06 = 393,908.06/x
  3. Step 3: Cross multiply
    262,467.84x = 393,908.06 × 393,908.06
  4. Step 4: Simplify right side
    262,467.84x = 155,163,561,702.50
  5. Step 5: Solve for x
    x = 155,163,561,702.50/262,467.84
  6. Step 6: Final answer
    x = 591,171.70

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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.