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Finding the Third Proportional to 247,578 and 370,441.50

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Solution

The third proportional to 247,578 and 370,441.50 is: 554,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,578 : 370,441.50 = 370,441.50 : x
  2. Step 2: Convert to fraction form
    247,578/370,441.50 = 370,441.50/x
  3. Step 3: Cross multiply
    247,578x = 370,441.50 × 370,441.50
  4. Step 4: Simplify right side
    247,578x = 137,226,904,922.25
  5. Step 5: Solve for x
    x = 137,226,904,922.25/247,578
  6. Step 6: Final answer
    x = 554,277.46

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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.