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Finding the Third Proportional to 283,597 and 439,339

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Solution

The third proportional to 283,597 and 439,339 is: 680,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,597 : 439,339 = 439,339 : x
  2. Step 2: Convert to fraction form
    283,597/439,339 = 439,339/x
  3. Step 3: Cross multiply
    283,597x = 439,339 × 439,339
  4. Step 4: Simplify right side
    283,597x = 193,018,756,921
  5. Step 5: Solve for x
    x = 193,018,756,921/283,597
  6. Step 6: Final answer
    x = 680,609.30

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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.