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Finding the Third Proportional to 300,176 and 475,320

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Solution

The third proportional to 300,176 and 475,320 is: 752,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,176 : 475,320 = 475,320 : x
  2. Step 2: Convert to fraction form
    300,176/475,320 = 475,320/x
  3. Step 3: Cross multiply
    300,176x = 475,320 × 475,320
  4. Step 4: Simplify right side
    300,176x = 225,929,102,400
  5. Step 5: Solve for x
    x = 225,929,102,400/300,176
  6. Step 6: Final answer
    x = 752,655.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.