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Finding the Third Proportional to 370,945 and 558,157

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Solution

The third proportional to 370,945 and 558,157 is: 839,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,945 : 558,157 = 558,157 : x
  2. Step 2: Convert to fraction form
    370,945/558,157 = 558,157/x
  3. Step 3: Cross multiply
    370,945x = 558,157 × 558,157
  4. Step 4: Simplify right side
    370,945x = 311,539,236,649
  5. Step 5: Solve for x
    x = 311,539,236,649/370,945
  6. Step 6: Final answer
    x = 839,852.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.