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Finding the Third Proportional to 272,058 and 382,434

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Solution

The third proportional to 272,058 and 382,434 is: 537,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,058 : 382,434 = 382,434 : x
  2. Step 2: Convert to fraction form
    272,058/382,434 = 382,434/x
  3. Step 3: Cross multiply
    272,058x = 382,434 × 382,434
  4. Step 4: Simplify right side
    272,058x = 146,255,764,356
  5. Step 5: Solve for x
    x = 146,255,764,356/272,058
  6. Step 6: Final answer
    x = 537,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.