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Finding the Third Proportional to 272,710.50 and 594,991.50

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Solution

The third proportional to 272,710.50 and 594,991.50 is: 1,298,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,710.50 : 594,991.50 = 594,991.50 : x
  2. Step 2: Convert to fraction form
    272,710.50/594,991.50 = 594,991.50/x
  3. Step 3: Cross multiply
    272,710.50x = 594,991.50 × 594,991.50
  4. Step 4: Simplify right side
    272,710.50x = 354,014,885,072.25
  5. Step 5: Solve for x
    x = 354,014,885,072.25/272,710.50
  6. Step 6: Final answer
    x = 1,298,134.41

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Why These Related Problems?

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