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Finding the Third Proportional to 342,772 and 527,190

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Solution

The third proportional to 342,772 and 527,190 is: 810,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,772 : 527,190 = 527,190 : x
  2. Step 2: Convert to fraction form
    342,772/527,190 = 527,190/x
  3. Step 3: Cross multiply
    342,772x = 527,190 × 527,190
  4. Step 4: Simplify right side
    342,772x = 277,929,296,100
  5. Step 5: Solve for x
    x = 277,929,296,100/342,772
  6. Step 6: Final answer
    x = 810,828.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.