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Finding the Third Proportional to 343,951.50 and 495,418.50

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Solution

The third proportional to 343,951.50 and 495,418.50 is: 713,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,951.50 : 495,418.50 = 495,418.50 : x
  2. Step 2: Convert to fraction form
    343,951.50/495,418.50 = 495,418.50/x
  3. Step 3: Cross multiply
    343,951.50x = 495,418.50 × 495,418.50
  4. Step 4: Simplify right side
    343,951.50x = 245,439,490,142.25
  5. Step 5: Solve for x
    x = 245,439,490,142.25/343,951.50
  6. Step 6: Final answer
    x = 713,587.50

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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.