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Finding the Third Proportional to 428,778 and 846,713

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Solution

The third proportional to 428,778 and 846,713 is: 1,672,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,778 : 846,713 = 846,713 : x
  2. Step 2: Convert to fraction form
    428,778/846,713 = 846,713/x
  3. Step 3: Cross multiply
    428,778x = 846,713 × 846,713
  4. Step 4: Simplify right side
    428,778x = 716,922,904,369
  5. Step 5: Solve for x
    x = 716,922,904,369/428,778
  6. Step 6: Final answer
    x = 1,672,014.20

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.