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Finding the Third Proportional to 404,397 and 634,324.50

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Solution

The third proportional to 404,397 and 634,324.50 is: 994,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,397 : 634,324.50 = 634,324.50 : x
  2. Step 2: Convert to fraction form
    404,397/634,324.50 = 634,324.50/x
  3. Step 3: Cross multiply
    404,397x = 634,324.50 × 634,324.50
  4. Step 4: Simplify right side
    404,397x = 402,367,571,300.25
  5. Step 5: Solve for x
    x = 402,367,571,300.25/404,397
  6. Step 6: Final answer
    x = 994,981.59

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