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Finding the Third Proportional to 411,434 and 617,151

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Solution

The third proportional to 411,434 and 617,151 is: 925,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,434 : 617,151 = 617,151 : x
  2. Step 2: Convert to fraction form
    411,434/617,151 = 617,151/x
  3. Step 3: Cross multiply
    411,434x = 617,151 × 617,151
  4. Step 4: Simplify right side
    411,434x = 380,875,356,801
  5. Step 5: Solve for x
    x = 380,875,356,801/411,434
  6. Step 6: Final answer
    x = 925,726.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.