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Finding the Third Proportional to 342,147 and 536,718

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Solution

The third proportional to 342,147 and 536,718 is: 841,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147 : 536,718 = 536,718 : x
  2. Step 2: Convert to fraction form
    342,147/536,718 = 536,718/x
  3. Step 3: Cross multiply
    342,147x = 536,718 × 536,718
  4. Step 4: Simplify right side
    342,147x = 288,066,211,524
  5. Step 5: Solve for x
    x = 288,066,211,524/342,147
  6. Step 6: Final answer
    x = 841,936.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.