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Finding the Third Proportional to 239,276 and 503,352

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Solution

The third proportional to 239,276 and 503,352 is: 1,058,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,276 : 503,352 = 503,352 : x
  2. Step 2: Convert to fraction form
    239,276/503,352 = 503,352/x
  3. Step 3: Cross multiply
    239,276x = 503,352 × 503,352
  4. Step 4: Simplify right side
    239,276x = 253,363,235,904
  5. Step 5: Solve for x
    x = 253,363,235,904/239,276
  6. Step 6: Final answer
    x = 1,058,874.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.