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Finding the Third Proportional to 558,232.75 and 1,210,984.75

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Solution

The third proportional to 558,232.75 and 1,210,984.75 is: 2,627,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,232.75 : 1,210,984.75 = 1,210,984.75 : x
  2. Step 2: Convert to fraction form
    558,232.75/1,210,984.75 = 1,210,984.75/x
  3. Step 3: Cross multiply
    558,232.75x = 1,210,984.75 × 1,210,984.75
  4. Step 4: Simplify right side
    558,232.75x = 1,466,484,064,732.56
  5. Step 5: Solve for x
    x = 1,466,484,064,732.56/558,232.75
  6. Step 6: Final answer
    x = 2,627,011.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.