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Finding the Third Proportional to 272,461.50 and 593,967

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Solution

The third proportional to 272,461.50 and 593,967 is: 1,294,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,461.50 : 593,967 = 593,967 : x
  2. Step 2: Convert to fraction form
    272,461.50/593,967 = 593,967/x
  3. Step 3: Cross multiply
    272,461.50x = 593,967 × 593,967
  4. Step 4: Simplify right side
    272,461.50x = 352,796,797,089
  5. Step 5: Solve for x
    x = 352,796,797,089/272,461.50
  6. Step 6: Final answer
    x = 1,294,850.09

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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.