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Finding the Third Proportional to 411,207.26 and 613,402.24

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Solution

The third proportional to 411,207.26 and 613,402.24 is: 915,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,207.26 : 613,402.24 = 613,402.24 : x
  2. Step 2: Convert to fraction form
    411,207.26/613,402.24 = 613,402.24/x
  3. Step 3: Cross multiply
    411,207.26x = 613,402.24 × 613,402.24
  4. Step 4: Simplify right side
    411,207.26x = 376,262,310,720.65
  5. Step 5: Solve for x
    x = 376,262,310,720.65/411,207.26
  6. Step 6: Final answer
    x = 915,018.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.