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Finding the Third Proportional to 302,472 and 654,192

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Solution

The third proportional to 302,472 and 654,192 is: 1,414,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,472 : 654,192 = 654,192 : x
  2. Step 2: Convert to fraction form
    302,472/654,192 = 654,192/x
  3. Step 3: Cross multiply
    302,472x = 654,192 × 654,192
  4. Step 4: Simplify right side
    302,472x = 427,967,172,864
  5. Step 5: Solve for x
    x = 427,967,172,864/302,472
  6. Step 6: Final answer
    x = 1,414,898.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.