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Finding the Third Proportional to 272,338.50 and 598,434

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Solution

The third proportional to 272,338.50 and 598,434 is: 1,314,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,338.50 : 598,434 = 598,434 : x
  2. Step 2: Convert to fraction form
    272,338.50/598,434 = 598,434/x
  3. Step 3: Cross multiply
    272,338.50x = 598,434 × 598,434
  4. Step 4: Simplify right side
    272,338.50x = 358,123,252,356
  5. Step 5: Solve for x
    x = 358,123,252,356/272,338.50
  6. Step 6: Final answer
    x = 1,314,993.11

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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.