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Finding the Third Proportional to 232,267.50 and 508,821.75

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Solution

The third proportional to 232,267.50 and 508,821.75 is: 1,114,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,267.50 : 508,821.75 = 508,821.75 : x
  2. Step 2: Convert to fraction form
    232,267.50/508,821.75 = 508,821.75/x
  3. Step 3: Cross multiply
    232,267.50x = 508,821.75 × 508,821.75
  4. Step 4: Simplify right side
    232,267.50x = 258,899,573,273.06
  5. Step 5: Solve for x
    x = 258,899,573,273.06/232,267.50
  6. Step 6: Final answer
    x = 1,114,661.21

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