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Finding the Third Proportional to 283,788 and 423,216

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Solution

The third proportional to 283,788 and 423,216 is: 631,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,788 : 423,216 = 423,216 : x
  2. Step 2: Convert to fraction form
    283,788/423,216 = 423,216/x
  3. Step 3: Cross multiply
    283,788x = 423,216 × 423,216
  4. Step 4: Simplify right side
    283,788x = 179,111,782,656
  5. Step 5: Solve for x
    x = 179,111,782,656/283,788
  6. Step 6: Final answer
    x = 631,146.43

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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.