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Finding the Third Proportional to 404,756 and 608,438

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Solution

The third proportional to 404,756 and 608,438 is: 914,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,756 : 608,438 = 608,438 : x
  2. Step 2: Convert to fraction form
    404,756/608,438 = 608,438/x
  3. Step 3: Cross multiply
    404,756x = 608,438 × 608,438
  4. Step 4: Simplify right side
    404,756x = 370,196,799,844
  5. Step 5: Solve for x
    x = 370,196,799,844/404,756
  6. Step 6: Final answer
    x = 914,617.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.