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Finding the Third Proportional to 242,020.50 and 531,813

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Solution

The third proportional to 242,020.50 and 531,813 is: 1,168,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,020.50 : 531,813 = 531,813 : x
  2. Step 2: Convert to fraction form
    242,020.50/531,813 = 531,813/x
  3. Step 3: Cross multiply
    242,020.50x = 531,813 × 531,813
  4. Step 4: Simplify right side
    242,020.50x = 282,825,066,969
  5. Step 5: Solve for x
    x = 282,825,066,969/242,020.50
  6. Step 6: Final answer
    x = 1,168,599.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.