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Finding the Third Proportional to 337,736 and 527,052

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Solution

The third proportional to 337,736 and 527,052 is: 822,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,736 : 527,052 = 527,052 : x
  2. Step 2: Convert to fraction form
    337,736/527,052 = 527,052/x
  3. Step 3: Cross multiply
    337,736x = 527,052 × 527,052
  4. Step 4: Simplify right side
    337,736x = 277,783,810,704
  5. Step 5: Solve for x
    x = 277,783,810,704/337,736
  6. Step 6: Final answer
    x = 822,488.01

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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.