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Finding the Third Proportional to 380,310.19 and 569,280.66

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Solution

The third proportional to 380,310.19 and 569,280.66 is: 852,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,310.19 : 569,280.66 = 569,280.66 : x
  2. Step 2: Convert to fraction form
    380,310.19/569,280.66 = 569,280.66/x
  3. Step 3: Cross multiply
    380,310.19x = 569,280.66 × 569,280.66
  4. Step 4: Simplify right side
    380,310.19x = 324,080,465,580.43
  5. Step 5: Solve for x
    x = 324,080,465,580.43/380,310.19
  6. Step 6: Final answer
    x = 852,147.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.