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Finding the Third Proportional to 232,715 and 501,052

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Solution

The third proportional to 232,715 and 501,052 is: 1,078,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,715 : 501,052 = 501,052 : x
  2. Step 2: Convert to fraction form
    232,715/501,052 = 501,052/x
  3. Step 3: Cross multiply
    232,715x = 501,052 × 501,052
  4. Step 4: Simplify right side
    232,715x = 251,053,106,704
  5. Step 5: Solve for x
    x = 251,053,106,704/232,715
  6. Step 6: Final answer
    x = 1,078,800.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.