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Finding the Third Proportional to 322,995 and 495,793

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Solution

The third proportional to 322,995 and 495,793 is: 761,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,995 : 495,793 = 495,793 : x
  2. Step 2: Convert to fraction form
    322,995/495,793 = 495,793/x
  3. Step 3: Cross multiply
    322,995x = 495,793 × 495,793
  4. Step 4: Simplify right side
    322,995x = 245,810,698,849
  5. Step 5: Solve for x
    x = 245,810,698,849/322,995
  6. Step 6: Final answer
    x = 761,035.62

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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.