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Finding the Third Proportional to 600,379 and 912,946

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Solution

The third proportional to 600,379 and 912,946 is: 1,388,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,379 : 912,946 = 912,946 : x
  2. Step 2: Convert to fraction form
    600,379/912,946 = 912,946/x
  3. Step 3: Cross multiply
    600,379x = 912,946 × 912,946
  4. Step 4: Simplify right side
    600,379x = 833,470,398,916
  5. Step 5: Solve for x
    x = 833,470,398,916/600,379
  6. Step 6: Final answer
    x = 1,388,240.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.