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Finding the Third Proportional to 354,586 and 768,248

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Solution

The third proportional to 354,586 and 768,248 is: 1,664,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,586 : 768,248 = 768,248 : x
  2. Step 2: Convert to fraction form
    354,586/768,248 = 768,248/x
  3. Step 3: Cross multiply
    354,586x = 768,248 × 768,248
  4. Step 4: Simplify right side
    354,586x = 590,204,989,504
  5. Step 5: Solve for x
    x = 590,204,989,504/354,586
  6. Step 6: Final answer
    x = 1,664,490.39

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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.