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Finding the Third Proportional to 242,790 and 533,761.50

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Solution

The third proportional to 242,790 and 533,761.50 is: 1,173,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,790 : 533,761.50 = 533,761.50 : x
  2. Step 2: Convert to fraction form
    242,790/533,761.50 = 533,761.50/x
  3. Step 3: Cross multiply
    242,790x = 533,761.50 × 533,761.50
  4. Step 4: Simplify right side
    242,790x = 284,901,338,882.25
  5. Step 5: Solve for x
    x = 284,901,338,882.25/242,790
  6. Step 6: Final answer
    x = 1,173,447.58

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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.