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Finding the Third Proportional to 343,973 and 495,447

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Solution

The third proportional to 343,973 and 495,447 is: 713,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,973 : 495,447 = 495,447 : x
  2. Step 2: Convert to fraction form
    343,973/495,447 = 495,447/x
  3. Step 3: Cross multiply
    343,973x = 495,447 × 495,447
  4. Step 4: Simplify right side
    343,973x = 245,467,729,809
  5. Step 5: Solve for x
    x = 245,467,729,809/343,973
  6. Step 6: Final answer
    x = 713,624.99

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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.