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Finding the Third Proportional to 384,112.13 and 581,450.06

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Solution

The third proportional to 384,112.13 and 581,450.06 is: 880,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,112.13 : 581,450.06 = 581,450.06 : x
  2. Step 2: Convert to fraction form
    384,112.13/581,450.06 = 581,450.06/x
  3. Step 3: Cross multiply
    384,112.13x = 581,450.06 × 581,450.06
  4. Step 4: Simplify right side
    384,112.13x = 338,084,175,181.25
  5. Step 5: Solve for x
    x = 338,084,175,181.25/384,112.13
  6. Step 6: Final answer
    x = 880,170.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.