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Finding the Third Proportional to 343,149 and 495,034

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Solution

The third proportional to 343,149 and 495,034 is: 714,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,149 : 495,034 = 495,034 : x
  2. Step 2: Convert to fraction form
    343,149/495,034 = 495,034/x
  3. Step 3: Cross multiply
    343,149x = 495,034 × 495,034
  4. Step 4: Simplify right side
    343,149x = 245,058,661,156
  5. Step 5: Solve for x
    x = 245,058,661,156/343,149
  6. Step 6: Final answer
    x = 714,146.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.