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Finding the Third Proportional to 503,676 and 786,150

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Solution

The third proportional to 503,676 and 786,150 is: 1,227,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,676 : 786,150 = 786,150 : x
  2. Step 2: Convert to fraction form
    503,676/786,150 = 786,150/x
  3. Step 3: Cross multiply
    503,676x = 786,150 × 786,150
  4. Step 4: Simplify right side
    503,676x = 618,031,822,500
  5. Step 5: Solve for x
    x = 618,031,822,500/503,676
  6. Step 6: Final answer
    x = 1,227,042.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.