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Finding the Third Proportional to 349,492 and 527,558

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Solution

The third proportional to 349,492 and 527,558 is: 796,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,492 : 527,558 = 527,558 : x
  2. Step 2: Convert to fraction form
    349,492/527,558 = 527,558/x
  3. Step 3: Cross multiply
    349,492x = 527,558 × 527,558
  4. Step 4: Simplify right side
    349,492x = 278,317,443,364
  5. Step 5: Solve for x
    x = 278,317,443,364/349,492
  6. Step 6: Final answer
    x = 796,348.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.