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Finding the Third Proportional to 290,010.38 and 637,148.25

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Solution

The third proportional to 290,010.38 and 637,148.25 is: 1,399,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,010.38 : 637,148.25 = 637,148.25 : x
  2. Step 2: Convert to fraction form
    290,010.38/637,148.25 = 637,148.25/x
  3. Step 3: Cross multiply
    290,010.38x = 637,148.25 × 637,148.25
  4. Step 4: Simplify right side
    290,010.38x = 405,957,892,478.06
  5. Step 5: Solve for x
    x = 405,957,892,478.06/290,010.38
  6. Step 6: Final answer
    x = 1,399,804.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.