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Finding the Third Proportional to 472,974 and 714,375

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Solution

The third proportional to 472,974 and 714,375 is: 1,078,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,974 : 714,375 = 714,375 : x
  2. Step 2: Convert to fraction form
    472,974/714,375 = 714,375/x
  3. Step 3: Cross multiply
    472,974x = 714,375 × 714,375
  4. Step 4: Simplify right side
    472,974x = 510,331,640,625
  5. Step 5: Solve for x
    x = 510,331,640,625/472,974
  6. Step 6: Final answer
    x = 1,078,984.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.