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Finding the Third Proportional to 349,968 and 495,111

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Solution

The third proportional to 349,968 and 495,111 is: 700,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,968 : 495,111 = 495,111 : x
  2. Step 2: Convert to fraction form
    349,968/495,111 = 495,111/x
  3. Step 3: Cross multiply
    349,968x = 495,111 × 495,111
  4. Step 4: Simplify right side
    349,968x = 245,134,902,321
  5. Step 5: Solve for x
    x = 245,134,902,321/349,968
  6. Step 6: Final answer
    x = 700,449.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.