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Finding the Third Proportional to 262,549.50 and 393,743.25

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Solution

The third proportional to 262,549.50 and 393,743.25 is: 590,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,549.50 : 393,743.25 = 393,743.25 : x
  2. Step 2: Convert to fraction form
    262,549.50/393,743.25 = 393,743.25/x
  3. Step 3: Cross multiply
    262,549.50x = 393,743.25 × 393,743.25
  4. Step 4: Simplify right side
    262,549.50x = 155,033,746,920.56
  5. Step 5: Solve for x
    x = 155,033,746,920.56/262,549.50
  6. Step 6: Final answer
    x = 590,493.40

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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.