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Finding the Third Proportional to 343,814.88 and 746,792.75

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Solution

The third proportional to 343,814.88 and 746,792.75 is: 1,622,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,814.88 : 746,792.75 = 746,792.75 : x
  2. Step 2: Convert to fraction form
    343,814.88/746,792.75 = 746,792.75/x
  3. Step 3: Cross multiply
    343,814.88x = 746,792.75 × 746,792.75
  4. Step 4: Simplify right side
    343,814.88x = 557,699,411,452.56
  5. Step 5: Solve for x
    x = 557,699,411,452.56/343,814.88
  6. Step 6: Final answer
    x = 1,622,092.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.