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Finding the Third Proportional to 289,368 and 600,912

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Solution

The third proportional to 289,368 and 600,912 is: 1,247,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,368 : 600,912 = 600,912 : x
  2. Step 2: Convert to fraction form
    289,368/600,912 = 600,912/x
  3. Step 3: Cross multiply
    289,368x = 600,912 × 600,912
  4. Step 4: Simplify right side
    289,368x = 361,095,231,744
  5. Step 5: Solve for x
    x = 361,095,231,744/289,368
  6. Step 6: Final answer
    x = 1,247,875.48

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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.