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Finding the Third Proportional to 342,921.09 and 534,007.69

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Solution

The third proportional to 342,921.09 and 534,007.69 is: 831,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,921.09 : 534,007.69 = 534,007.69 : x
  2. Step 2: Convert to fraction form
    342,921.09/534,007.69 = 534,007.69/x
  3. Step 3: Cross multiply
    342,921.09x = 534,007.69 × 534,007.69
  4. Step 4: Simplify right side
    342,921.09x = 285,164,210,309.10
  5. Step 5: Solve for x
    x = 285,164,210,309.10/342,921.09
  6. Step 6: Final answer
    x = 831,573.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.