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Finding the Third Proportional to 411,444 and 617,165

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Solution

The third proportional to 411,444 and 617,165 is: 925,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,444 : 617,165 = 617,165 : x
  2. Step 2: Convert to fraction form
    411,444/617,165 = 617,165/x
  3. Step 3: Cross multiply
    411,444x = 617,165 × 617,165
  4. Step 4: Simplify right side
    411,444x = 380,892,637,225
  5. Step 5: Solve for x
    x = 380,892,637,225/411,444
  6. Step 6: Final answer
    x = 925,746.00

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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.