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Finding the Third Proportional to 380,404.69 and 606,592.13

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Solution

The third proportional to 380,404.69 and 606,592.13 is: 967,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,404.69 : 606,592.13 = 606,592.13 : x
  2. Step 2: Convert to fraction form
    380,404.69/606,592.13 = 606,592.13/x
  3. Step 3: Cross multiply
    380,404.69x = 606,592.13 × 606,592.13
  4. Step 4: Simplify right side
    380,404.69x = 367,954,006,112.02
  5. Step 5: Solve for x
    x = 367,954,006,112.02/380,404.69
  6. Step 6: Final answer
    x = 967,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.