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Finding the Third Proportional to 268,754 and 388,494

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Solution

The third proportional to 268,754 and 388,494 is: 561,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,754 : 388,494 = 388,494 : x
  2. Step 2: Convert to fraction form
    268,754/388,494 = 388,494/x
  3. Step 3: Cross multiply
    268,754x = 388,494 × 388,494
  4. Step 4: Simplify right side
    268,754x = 150,927,588,036
  5. Step 5: Solve for x
    x = 150,927,588,036/268,754
  6. Step 6: Final answer
    x = 561,582.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.