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Finding the Third Proportional to 290,524 and 400,068

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Solution

The third proportional to 290,524 and 400,068 is: 550,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,524 : 400,068 = 400,068 : x
  2. Step 2: Convert to fraction form
    290,524/400,068 = 400,068/x
  3. Step 3: Cross multiply
    290,524x = 400,068 × 400,068
  4. Step 4: Simplify right side
    290,524x = 160,054,404,624
  5. Step 5: Solve for x
    x = 160,054,404,624/290,524
  6. Step 6: Final answer
    x = 550,916.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.