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Finding the Third Proportional to 243,004.50 and 530,227.50

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Solution

The third proportional to 243,004.50 and 530,227.50 is: 1,156,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,004.50 : 530,227.50 = 530,227.50 : x
  2. Step 2: Convert to fraction form
    243,004.50/530,227.50 = 530,227.50/x
  3. Step 3: Cross multiply
    243,004.50x = 530,227.50 × 530,227.50
  4. Step 4: Simplify right side
    243,004.50x = 281,141,201,756.25
  5. Step 5: Solve for x
    x = 281,141,201,756.25/243,004.50
  6. Step 6: Final answer
    x = 1,156,938.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.