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Finding the Third Proportional to 343,431.88 and 504,857.75

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Solution

The third proportional to 343,431.88 and 504,857.75 is: 742,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,431.88 : 504,857.75 = 504,857.75 : x
  2. Step 2: Convert to fraction form
    343,431.88/504,857.75 = 504,857.75/x
  3. Step 3: Cross multiply
    343,431.88x = 504,857.75 × 504,857.75
  4. Step 4: Simplify right side
    343,431.88x = 254,881,347,735.06
  5. Step 5: Solve for x
    x = 254,881,347,735.06/343,431.88
  6. Step 6: Final answer
    x = 742,159.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.