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Finding the Third Proportional to 343,961 and 495,429

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Solution

The third proportional to 343,961 and 495,429 is: 713,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,961 : 495,429 = 495,429 : x
  2. Step 2: Convert to fraction form
    343,961/495,429 = 495,429/x
  3. Step 3: Cross multiply
    343,961x = 495,429 × 495,429
  4. Step 4: Simplify right side
    343,961x = 245,449,894,041
  5. Step 5: Solve for x
    x = 245,449,894,041/343,961
  6. Step 6: Final answer
    x = 713,598.04

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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.