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Finding the Third Proportional to 322,993 and 495,790

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Solution

The third proportional to 322,993 and 495,790 is: 761,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,993 : 495,790 = 495,790 : x
  2. Step 2: Convert to fraction form
    322,993/495,790 = 495,790/x
  3. Step 3: Cross multiply
    322,993x = 495,790 × 495,790
  4. Step 4: Simplify right side
    322,993x = 245,807,724,100
  5. Step 5: Solve for x
    x = 245,807,724,100/322,993
  6. Step 6: Final answer
    x = 761,031.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.