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Finding the Third Proportional to 247,266 and 370,728

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Solution

The third proportional to 247,266 and 370,728 is: 555,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,266 : 370,728 = 370,728 : x
  2. Step 2: Convert to fraction form
    247,266/370,728 = 370,728/x
  3. Step 3: Cross multiply
    247,266x = 370,728 × 370,728
  4. Step 4: Simplify right side
    247,266x = 137,439,249,984
  5. Step 5: Solve for x
    x = 137,439,249,984/247,266
  6. Step 6: Final answer
    x = 555,835.62

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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.