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Finding the Third Proportional to 380,708 and 846,517

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Solution

The third proportional to 380,708 and 846,517 is: 1,882,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,708 : 846,517 = 846,517 : x
  2. Step 2: Convert to fraction form
    380,708/846,517 = 846,517/x
  3. Step 3: Cross multiply
    380,708x = 846,517 × 846,517
  4. Step 4: Simplify right side
    380,708x = 716,591,031,289
  5. Step 5: Solve for x
    x = 716,591,031,289/380,708
  6. Step 6: Final answer
    x = 1,882,258.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.