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Finding the Third Proportional to 290,521.69 and 632,487.23

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Solution

The third proportional to 290,521.69 and 632,487.23 is: 1,376,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,521.69 : 632,487.23 = 632,487.23 : x
  2. Step 2: Convert to fraction form
    290,521.69/632,487.23 = 632,487.23/x
  3. Step 3: Cross multiply
    290,521.69x = 632,487.23 × 632,487.23
  4. Step 4: Simplify right side
    290,521.69x = 400,040,101,647.34
  5. Step 5: Solve for x
    x = 400,040,101,647.34/290,521.69
  6. Step 6: Final answer
    x = 1,376,971.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.