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Finding the Third Proportional to 404,317 and 634,177.50

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Solution

The third proportional to 404,317 and 634,177.50 is: 994,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,317 : 634,177.50 = 634,177.50 : x
  2. Step 2: Convert to fraction form
    404,317/634,177.50 = 634,177.50/x
  3. Step 3: Cross multiply
    404,317x = 634,177.50 × 634,177.50
  4. Step 4: Simplify right side
    404,317x = 402,181,101,506.25
  5. Step 5: Solve for x
    x = 402,181,101,506.25/404,317
  6. Step 6: Final answer
    x = 994,717.27

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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.