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Finding the Third Proportional to 331,610.63 and 716,166.56

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Solution

The third proportional to 331,610.63 and 716,166.56 is: 1,546,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,610.63 : 716,166.56 = 716,166.56 : x
  2. Step 2: Convert to fraction form
    331,610.63/716,166.56 = 716,166.56/x
  3. Step 3: Cross multiply
    331,610.63x = 716,166.56 × 716,166.56
  4. Step 4: Simplify right side
    331,610.63x = 512,894,545,243.07
  5. Step 5: Solve for x
    x = 512,894,545,243.07/331,610.63
  6. Step 6: Final answer
    x = 1,546,677.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.