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Finding the Third Proportional to 322,998 and 495,796

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Solution

The third proportional to 322,998 and 495,796 is: 761,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,998 : 495,796 = 495,796 : x
  2. Step 2: Convert to fraction form
    322,998/495,796 = 495,796/x
  3. Step 3: Cross multiply
    322,998x = 495,796 × 495,796
  4. Step 4: Simplify right side
    322,998x = 245,813,673,616
  5. Step 5: Solve for x
    x = 245,813,673,616/322,998
  6. Step 6: Final answer
    x = 761,037.76

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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.