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Finding the Third Proportional to 355,624 and 519,934

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Solution

The third proportional to 355,624 and 519,934 is: 760,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,624 : 519,934 = 519,934 : x
  2. Step 2: Convert to fraction form
    355,624/519,934 = 519,934/x
  3. Step 3: Cross multiply
    355,624x = 519,934 × 519,934
  4. Step 4: Simplify right side
    355,624x = 270,331,364,356
  5. Step 5: Solve for x
    x = 270,331,364,356/355,624
  6. Step 6: Final answer
    x = 760,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.