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Finding the Third Proportional to 342,926.16 and 534,015.28

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Solution

The third proportional to 342,926.16 and 534,015.28 is: 831,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,926.16 : 534,015.28 = 534,015.28 : x
  2. Step 2: Convert to fraction form
    342,926.16/534,015.28 = 534,015.28/x
  3. Step 3: Cross multiply
    342,926.16x = 534,015.28 × 534,015.28
  4. Step 4: Simplify right side
    342,926.16x = 285,172,320,608.52
  5. Step 5: Solve for x
    x = 285,172,320,608.52/342,926.16
  6. Step 6: Final answer
    x = 831,585.21

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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.