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Finding the Third Proportional to 411,993 and 617,587

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Solution

The third proportional to 411,993 and 617,587 is: 925,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,993 : 617,587 = 617,587 : x
  2. Step 2: Convert to fraction form
    411,993/617,587 = 617,587/x
  3. Step 3: Cross multiply
    411,993x = 617,587 × 617,587
  4. Step 4: Simplify right side
    411,993x = 381,413,702,569
  5. Step 5: Solve for x
    x = 381,413,702,569/411,993
  6. Step 6: Final answer
    x = 925,777.14

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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.