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Finding the Third Proportional to 404,320 and 634,182

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Solution

The third proportional to 404,320 and 634,182 is: 994,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,320 : 634,182 = 634,182 : x
  2. Step 2: Convert to fraction form
    404,320/634,182 = 634,182/x
  3. Step 3: Cross multiply
    404,320x = 634,182 × 634,182
  4. Step 4: Simplify right side
    404,320x = 402,186,809,124
  5. Step 5: Solve for x
    x = 402,186,809,124/404,320
  6. Step 6: Final answer
    x = 994,724.00

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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.