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Finding the Third Proportional to 404,006 and 598,200

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Solution

The third proportional to 404,006 and 598,200 is: 885,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,006 : 598,200 = 598,200 : x
  2. Step 2: Convert to fraction form
    404,006/598,200 = 598,200/x
  3. Step 3: Cross multiply
    404,006x = 598,200 × 598,200
  4. Step 4: Simplify right side
    404,006x = 357,843,240,000
  5. Step 5: Solve for x
    x = 357,843,240,000/404,006
  6. Step 6: Final answer
    x = 885,737.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.