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Finding the Third Proportional to 294,432 and 638,652

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Solution

The third proportional to 294,432 and 638,652 is: 1,385,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,432 : 638,652 = 638,652 : x
  2. Step 2: Convert to fraction form
    294,432/638,652 = 638,652/x
  3. Step 3: Cross multiply
    294,432x = 638,652 × 638,652
  4. Step 4: Simplify right side
    294,432x = 407,876,377,104
  5. Step 5: Solve for x
    x = 407,876,377,104/294,432
  6. Step 6: Final answer
    x = 1,385,299.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.