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Finding the Third Proportional to 289,389 and 600,954

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Solution

The third proportional to 289,389 and 600,954 is: 1,247,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,389 : 600,954 = 600,954 : x
  2. Step 2: Convert to fraction form
    289,389/600,954 = 600,954/x
  3. Step 3: Cross multiply
    289,389x = 600,954 × 600,954
  4. Step 4: Simplify right side
    289,389x = 361,145,710,116
  5. Step 5: Solve for x
    x = 361,145,710,116/289,389
  6. Step 6: Final answer
    x = 1,247,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.