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Finding the Third Proportional to 380,367 and 803,180

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Solution

The third proportional to 380,367 and 803,180 is: 1,695,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,367 : 803,180 = 803,180 : x
  2. Step 2: Convert to fraction form
    380,367/803,180 = 803,180/x
  3. Step 3: Cross multiply
    380,367x = 803,180 × 803,180
  4. Step 4: Simplify right side
    380,367x = 645,098,112,400
  5. Step 5: Solve for x
    x = 645,098,112,400/380,367
  6. Step 6: Final answer
    x = 1,695,988.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.