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Finding the Third Proportional to 252,444.75 and 540,351.75

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Solution

The third proportional to 252,444.75 and 540,351.75 is: 1,156,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,444.75 : 540,351.75 = 540,351.75 : x
  2. Step 2: Convert to fraction form
    252,444.75/540,351.75 = 540,351.75/x
  3. Step 3: Cross multiply
    252,444.75x = 540,351.75 × 540,351.75
  4. Step 4: Simplify right side
    252,444.75x = 291,980,013,728.06
  5. Step 5: Solve for x
    x = 291,980,013,728.06/252,444.75
  6. Step 6: Final answer
    x = 1,156,609.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.