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Finding the Third Proportional to 383,780 and 602,009

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Solution

The third proportional to 383,780 and 602,009 is: 944,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,780 : 602,009 = 602,009 : x
  2. Step 2: Convert to fraction form
    383,780/602,009 = 602,009/x
  3. Step 3: Cross multiply
    383,780x = 602,009 × 602,009
  4. Step 4: Simplify right side
    383,780x = 362,414,836,081
  5. Step 5: Solve for x
    x = 362,414,836,081/383,780
  6. Step 6: Final answer
    x = 944,329.66

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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.