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Finding the Third Proportional to 402,396 and 603,642

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Solution

The third proportional to 402,396 and 603,642 is: 905,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,396 : 603,642 = 603,642 : x
  2. Step 2: Convert to fraction form
    402,396/603,642 = 603,642/x
  3. Step 3: Cross multiply
    402,396x = 603,642 × 603,642
  4. Step 4: Simplify right side
    402,396x = 364,383,664,164
  5. Step 5: Solve for x
    x = 364,383,664,164/402,396
  6. Step 6: Final answer
    x = 905,535.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.