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Finding the Third Proportional to 283,944 and 439,596

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Solution

The third proportional to 283,944 and 439,596 is: 680,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,944 : 439,596 = 439,596 : x
  2. Step 2: Convert to fraction form
    283,944/439,596 = 439,596/x
  3. Step 3: Cross multiply
    283,944x = 439,596 × 439,596
  4. Step 4: Simplify right side
    283,944x = 193,244,643,216
  5. Step 5: Solve for x
    x = 193,244,643,216/283,944
  6. Step 6: Final answer
    x = 680,573.08

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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.