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Finding the Third Proportional to 283,603 and 439,346

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Solution

The third proportional to 283,603 and 439,346 is: 680,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,603 : 439,346 = 439,346 : x
  2. Step 2: Convert to fraction form
    283,603/439,346 = 439,346/x
  3. Step 3: Cross multiply
    283,603x = 439,346 × 439,346
  4. Step 4: Simplify right side
    283,603x = 193,024,907,716
  5. Step 5: Solve for x
    x = 193,024,907,716/283,603
  6. Step 6: Final answer
    x = 680,616.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.