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Finding the Third Proportional to 383,641 and 601,846

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Solution

The third proportional to 383,641 and 601,846 is: 944,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,641 : 601,846 = 601,846 : x
  2. Step 2: Convert to fraction form
    383,641/601,846 = 601,846/x
  3. Step 3: Cross multiply
    383,641x = 601,846 × 601,846
  4. Step 4: Simplify right side
    383,641x = 362,218,607,716
  5. Step 5: Solve for x
    x = 362,218,607,716/383,641
  6. Step 6: Final answer
    x = 944,160.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.