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Finding the Third Proportional to 243,701.16 and 543,434.06

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Solution

The third proportional to 243,701.16 and 543,434.06 is: 1,211,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,701.16 : 543,434.06 = 543,434.06 : x
  2. Step 2: Convert to fraction form
    243,701.16/543,434.06 = 543,434.06/x
  3. Step 3: Cross multiply
    243,701.16x = 543,434.06 × 543,434.06
  4. Step 4: Simplify right side
    243,701.16x = 295,320,580,285.25
  5. Step 5: Solve for x
    x = 295,320,580,285.25/243,701.16
  6. Step 6: Final answer
    x = 1,211,814.44

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.