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Finding the Third Proportional to 321,422 and 475,572

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Solution

The third proportional to 321,422 and 475,572 is: 703,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,422 : 475,572 = 475,572 : x
  2. Step 2: Convert to fraction form
    321,422/475,572 = 475,572/x
  3. Step 3: Cross multiply
    321,422x = 475,572 × 475,572
  4. Step 4: Simplify right side
    321,422x = 226,168,727,184
  5. Step 5: Solve for x
    x = 226,168,727,184/321,422
  6. Step 6: Final answer
    x = 703,650.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.