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Finding the Third Proportional to 322,999 and 495,797

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Solution

The third proportional to 322,999 and 495,797 is: 761,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,999 : 495,797 = 495,797 : x
  2. Step 2: Convert to fraction form
    322,999/495,797 = 495,797/x
  3. Step 3: Cross multiply
    322,999x = 495,797 × 495,797
  4. Step 4: Simplify right side
    322,999x = 245,814,665,209
  5. Step 5: Solve for x
    x = 245,814,665,209/322,999
  6. Step 6: Final answer
    x = 761,038.47

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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.