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Finding the Third Proportional to 342,945 and 534,043.13

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Solution

The third proportional to 342,945 and 534,043.13 is: 831,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,945 : 534,043.13 = 534,043.13 : x
  2. Step 2: Convert to fraction form
    342,945/534,043.13 = 534,043.13/x
  3. Step 3: Cross multiply
    342,945x = 534,043.13 × 534,043.13
  4. Step 4: Simplify right side
    342,945x = 285,202,059,359.77
  5. Step 5: Solve for x
    x = 285,202,059,359.77/342,945
  6. Step 6: Final answer
    x = 831,626.24

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Why These Related Problems?

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