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Finding the Third Proportional to 404,959.50 and 640,426.50

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Solution

The third proportional to 404,959.50 and 640,426.50 is: 1,012,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,959.50 : 640,426.50 = 640,426.50 : x
  2. Step 2: Convert to fraction form
    404,959.50/640,426.50 = 640,426.50/x
  3. Step 3: Cross multiply
    404,959.50x = 640,426.50 × 640,426.50
  4. Step 4: Simplify right side
    404,959.50x = 410,146,101,902.25
  5. Step 5: Solve for x
    x = 410,146,101,902.25/404,959.50
  6. Step 6: Final answer
    x = 1,012,807.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.