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Finding the Third Proportional to 242,453.25 and 530,050.50

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Solution

The third proportional to 242,453.25 and 530,050.50 is: 1,158,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,453.25 : 530,050.50 = 530,050.50 : x
  2. Step 2: Convert to fraction form
    242,453.25/530,050.50 = 530,050.50/x
  3. Step 3: Cross multiply
    242,453.25x = 530,050.50 × 530,050.50
  4. Step 4: Simplify right side
    242,453.25x = 280,953,532,550.25
  5. Step 5: Solve for x
    x = 280,953,532,550.25/242,453.25
  6. Step 6: Final answer
    x = 1,158,794.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.