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Finding the Third Proportional to 343,962 and 495,433

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Solution

The third proportional to 343,962 and 495,433 is: 713,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,962 : 495,433 = 495,433 : x
  2. Step 2: Convert to fraction form
    343,962/495,433 = 495,433/x
  3. Step 3: Cross multiply
    343,962x = 495,433 × 495,433
  4. Step 4: Simplify right side
    343,962x = 245,453,857,489
  5. Step 5: Solve for x
    x = 245,453,857,489/343,962
  6. Step 6: Final answer
    x = 713,607.48

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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.