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Finding the Third Proportional to 322,528.39 and 512,395.88

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Solution

The third proportional to 322,528.39 and 512,395.88 is: 814,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,528.39 : 512,395.88 = 512,395.88 : x
  2. Step 2: Convert to fraction form
    322,528.39/512,395.88 = 512,395.88/x
  3. Step 3: Cross multiply
    322,528.39x = 512,395.88 × 512,395.88
  4. Step 4: Simplify right side
    322,528.39x = 262,549,532,717.02
  5. Step 5: Solve for x
    x = 262,549,532,717.02/322,528.39
  6. Step 6: Final answer
    x = 814,035.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.