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Finding the Third Proportional to 310,824 and 472,311

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Solution

The third proportional to 310,824 and 472,311 is: 717,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,824 : 472,311 = 472,311 : x
  2. Step 2: Convert to fraction form
    310,824/472,311 = 472,311/x
  3. Step 3: Cross multiply
    310,824x = 472,311 × 472,311
  4. Step 4: Simplify right side
    310,824x = 223,077,680,721
  5. Step 5: Solve for x
    x = 223,077,680,721/310,824
  6. Step 6: Final answer
    x = 717,697.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.