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Finding the Third Proportional to 404,334 and 634,203

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Solution

The third proportional to 404,334 and 634,203 is: 994,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,334 : 634,203 = 634,203 : x
  2. Step 2: Convert to fraction form
    404,334/634,203 = 634,203/x
  3. Step 3: Cross multiply
    404,334x = 634,203 × 634,203
  4. Step 4: Simplify right side
    404,334x = 402,213,445,209
  5. Step 5: Solve for x
    x = 402,213,445,209/404,334
  6. Step 6: Final answer
    x = 994,755.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.