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Finding the Third Proportional to 262,450.13 and 393,606.84

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Solution

The third proportional to 262,450.13 and 393,606.84 is: 590,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,450.13 : 393,606.84 = 393,606.84 : x
  2. Step 2: Convert to fraction form
    262,450.13/393,606.84 = 393,606.84/x
  3. Step 3: Cross multiply
    262,450.13x = 393,606.84 × 393,606.84
  4. Step 4: Simplify right side
    262,450.13x = 154,926,347,446.84
  5. Step 5: Solve for x
    x = 154,926,347,446.84/262,450.13
  6. Step 6: Final answer
    x = 590,307.77

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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.