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Finding the Third Proportional to 283,953 and 423,468

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Solution

The third proportional to 283,953 and 423,468 is: 631,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,953 : 423,468 = 423,468 : x
  2. Step 2: Convert to fraction form
    283,953/423,468 = 423,468/x
  3. Step 3: Cross multiply
    283,953x = 423,468 × 423,468
  4. Step 4: Simplify right side
    283,953x = 179,325,147,024
  5. Step 5: Solve for x
    x = 179,325,147,024/283,953
  6. Step 6: Final answer
    x = 631,531.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.