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Finding the Third Proportional to 262,428.50 and 393,574

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Solution

The third proportional to 262,428.50 and 393,574 is: 590,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428.50 : 393,574 = 393,574 : x
  2. Step 2: Convert to fraction form
    262,428.50/393,574 = 393,574/x
  3. Step 3: Cross multiply
    262,428.50x = 393,574 × 393,574
  4. Step 4: Simplify right side
    262,428.50x = 154,900,493,476
  5. Step 5: Solve for x
    x = 154,900,493,476/262,428.50
  6. Step 6: Final answer
    x = 590,257.89

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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.