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Finding the Third Proportional to 672,327 and 996,460

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Solution

The third proportional to 672,327 and 996,460 is: 1,476,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,327 : 996,460 = 996,460 : x
  2. Step 2: Convert to fraction form
    672,327/996,460 = 996,460/x
  3. Step 3: Cross multiply
    672,327x = 996,460 × 996,460
  4. Step 4: Simplify right side
    672,327x = 992,932,531,600
  5. Step 5: Solve for x
    x = 992,932,531,600/672,327
  6. Step 6: Final answer
    x = 1,476,859.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.