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Finding the Third Proportional to 546,324.75 and 823,132.13

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Solution

The third proportional to 546,324.75 and 823,132.13 is: 1,240,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,324.75 : 823,132.13 = 823,132.13 : x
  2. Step 2: Convert to fraction form
    546,324.75/823,132.13 = 823,132.13/x
  3. Step 3: Cross multiply
    546,324.75x = 823,132.13 × 823,132.13
  4. Step 4: Simplify right side
    546,324.75x = 677,546,495,207.02
  5. Step 5: Solve for x
    x = 677,546,495,207.02/546,324.75
  6. Step 6: Final answer
    x = 1,240,190.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.