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Finding the Third Proportional to 303,980 and 521,578

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Solution

The third proportional to 303,980 and 521,578 is: 894,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,980 : 521,578 = 521,578 : x
  2. Step 2: Convert to fraction form
    303,980/521,578 = 521,578/x
  3. Step 3: Cross multiply
    303,980x = 521,578 × 521,578
  4. Step 4: Simplify right side
    303,980x = 272,043,610,084
  5. Step 5: Solve for x
    x = 272,043,610,084/303,980
  6. Step 6: Final answer
    x = 894,939.17

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.