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Finding the Third Proportional to 268,072 and 577,330

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Solution

The third proportional to 268,072 and 577,330 is: 1,243,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,072 : 577,330 = 577,330 : x
  2. Step 2: Convert to fraction form
    268,072/577,330 = 577,330/x
  3. Step 3: Cross multiply
    268,072x = 577,330 × 577,330
  4. Step 4: Simplify right side
    268,072x = 333,309,928,900
  5. Step 5: Solve for x
    x = 333,309,928,900/268,072
  6. Step 6: Final answer
    x = 1,243,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.