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Finding the Third Proportional to 232,260.54 and 508,807.83

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Solution

The third proportional to 232,260.54 and 508,807.83 is: 1,114,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,260.54 : 508,807.83 = 508,807.83 : x
  2. Step 2: Convert to fraction form
    232,260.54/508,807.83 = 508,807.83/x
  3. Step 3: Cross multiply
    232,260.54x = 508,807.83 × 508,807.83
  4. Step 4: Simplify right side
    232,260.54x = 258,885,405,961.28
  5. Step 5: Solve for x
    x = 258,885,405,961.28/232,260.54
  6. Step 6: Final answer
    x = 1,114,633.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.