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Finding the Third Proportional to 322,995 and 681,297

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Solution

The third proportional to 322,995 and 681,297 is: 1,437,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,995 : 681,297 = 681,297 : x
  2. Step 2: Convert to fraction form
    322,995/681,297 = 681,297/x
  3. Step 3: Cross multiply
    322,995x = 681,297 × 681,297
  4. Step 4: Simplify right side
    322,995x = 464,165,602,209
  5. Step 5: Solve for x
    x = 464,165,602,209/322,995
  6. Step 6: Final answer
    x = 1,437,067.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.