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Finding the Third Proportional to 384,203.25 and 617,310

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Solution

The third proportional to 384,203.25 and 617,310 is: 991,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,203.25 : 617,310 = 617,310 : x
  2. Step 2: Convert to fraction form
    384,203.25/617,310 = 617,310/x
  3. Step 3: Cross multiply
    384,203.25x = 617,310 × 617,310
  4. Step 4: Simplify right side
    384,203.25x = 381,071,636,100
  5. Step 5: Solve for x
    x = 381,071,636,100/384,203.25
  6. Step 6: Final answer
    x = 991,849.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.