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Finding the Third Proportional to 283,800 and 606,160

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Solution

The third proportional to 283,800 and 606,160 is: 1,294,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,800 : 606,160 = 606,160 : x
  2. Step 2: Convert to fraction form
    283,800/606,160 = 606,160/x
  3. Step 3: Cross multiply
    283,800x = 606,160 × 606,160
  4. Step 4: Simplify right side
    283,800x = 367,429,945,600
  5. Step 5: Solve for x
    x = 367,429,945,600/283,800
  6. Step 6: Final answer
    x = 1,294,679.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.