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Finding the Third Proportional to 232,738.88 and 543,901.50

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Solution

The third proportional to 232,738.88 and 543,901.50 is: 1,271,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,738.88 : 543,901.50 = 543,901.50 : x
  2. Step 2: Convert to fraction form
    232,738.88/543,901.50 = 543,901.50/x
  3. Step 3: Cross multiply
    232,738.88x = 543,901.50 × 543,901.50
  4. Step 4: Simplify right side
    232,738.88x = 295,828,841,702.25
  5. Step 5: Solve for x
    x = 295,828,841,702.25/232,738.88
  6. Step 6: Final answer
    x = 1,271,076.19

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.