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Finding the Third Proportional to 247,256 and 370,884

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Solution

The third proportional to 247,256 and 370,884 is: 556,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,256 : 370,884 = 370,884 : x
  2. Step 2: Convert to fraction form
    247,256/370,884 = 370,884/x
  3. Step 3: Cross multiply
    247,256x = 370,884 × 370,884
  4. Step 4: Simplify right side
    247,256x = 137,554,941,456
  5. Step 5: Solve for x
    x = 137,554,941,456/247,256
  6. Step 6: Final answer
    x = 556,326

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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.