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Finding the Third Proportional to 411,445 and 617,168

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Solution

The third proportional to 411,445 and 617,168 is: 925,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,445 : 617,168 = 617,168 : x
  2. Step 2: Convert to fraction form
    411,445/617,168 = 617,168/x
  3. Step 3: Cross multiply
    411,445x = 617,168 × 617,168
  4. Step 4: Simplify right side
    411,445x = 380,896,340,224
  5. Step 5: Solve for x
    x = 380,896,340,224/411,445
  6. Step 6: Final answer
    x = 925,752.75

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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.