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Finding the Third Proportional to 239,049.56 and 514,984.50

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Solution

The third proportional to 239,049.56 and 514,984.50 is: 1,109,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,049.56 : 514,984.50 = 514,984.50 : x
  2. Step 2: Convert to fraction form
    239,049.56/514,984.50 = 514,984.50/x
  3. Step 3: Cross multiply
    239,049.56x = 514,984.50 × 514,984.50
  4. Step 4: Simplify right side
    239,049.56x = 265,209,035,240.25
  5. Step 5: Solve for x
    x = 265,209,035,240.25/239,049.56
  6. Step 6: Final answer
    x = 1,109,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.