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Finding the Third Proportional to 285,103.50 and 617,262

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Solution

The third proportional to 285,103.50 and 617,262 is: 1,336,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,103.50 : 617,262 = 617,262 : x
  2. Step 2: Convert to fraction form
    285,103.50/617,262 = 617,262/x
  3. Step 3: Cross multiply
    285,103.50x = 617,262 × 617,262
  4. Step 4: Simplify right side
    285,103.50x = 381,012,376,644
  5. Step 5: Solve for x
    x = 381,012,376,644/285,103.50
  6. Step 6: Final answer
    x = 1,336,400.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.