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Finding the Third Proportional to 411,448 and 617,170

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Solution

The third proportional to 411,448 and 617,170 is: 925,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,448 : 617,170 = 617,170 : x
  2. Step 2: Convert to fraction form
    411,448/617,170 = 617,170/x
  3. Step 3: Cross multiply
    411,448x = 617,170 × 617,170
  4. Step 4: Simplify right side
    411,448x = 380,898,808,900
  5. Step 5: Solve for x
    x = 380,898,808,900/411,448
  6. Step 6: Final answer
    x = 925,752.00

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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.