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Finding the Third Proportional to 290,007 and 408,400.50

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Solution

The third proportional to 290,007 and 408,400.50 is: 575,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,007 : 408,400.50 = 408,400.50 : x
  2. Step 2: Convert to fraction form
    290,007/408,400.50 = 408,400.50/x
  3. Step 3: Cross multiply
    290,007x = 408,400.50 × 408,400.50
  4. Step 4: Simplify right side
    290,007x = 166,790,968,400.25
  5. Step 5: Solve for x
    x = 166,790,968,400.25/290,007
  6. Step 6: Final answer
    x = 575,127.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.