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Finding the Third Proportional to 383,480 and 601,599

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Solution

The third proportional to 383,480 and 601,599 is: 943,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,480 : 601,599 = 601,599 : x
  2. Step 2: Convert to fraction form
    383,480/601,599 = 601,599/x
  3. Step 3: Cross multiply
    383,480x = 601,599 × 601,599
  4. Step 4: Simplify right side
    383,480x = 361,921,356,801
  5. Step 5: Solve for x
    x = 361,921,356,801/383,480
  6. Step 6: Final answer
    x = 943,781.57

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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.