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Finding the Third Proportional to 370,195.50 and 558,025.50

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Solution

The third proportional to 370,195.50 and 558,025.50 is: 841,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,195.50 : 558,025.50 = 558,025.50 : x
  2. Step 2: Convert to fraction form
    370,195.50/558,025.50 = 558,025.50/x
  3. Step 3: Cross multiply
    370,195.50x = 558,025.50 × 558,025.50
  4. Step 4: Simplify right side
    370,195.50x = 311,392,458,650.25
  5. Step 5: Solve for x
    x = 311,392,458,650.25/370,195.50
  6. Step 6: Final answer
    x = 841,156.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.