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Finding the Third Proportional to 358,771 and 769,058

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Solution

The third proportional to 358,771 and 769,058 is: 1,648,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,771 : 769,058 = 769,058 : x
  2. Step 2: Convert to fraction form
    358,771/769,058 = 769,058/x
  3. Step 3: Cross multiply
    358,771x = 769,058 × 769,058
  4. Step 4: Simplify right side
    358,771x = 591,450,207,364
  5. Step 5: Solve for x
    x = 591,450,207,364/358,771
  6. Step 6: Final answer
    x = 1,648,545.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.