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Finding the Third Proportional to 598,602 and 814,205

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Solution

The third proportional to 598,602 and 814,205 is: 1,107,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,602 : 814,205 = 814,205 : x
  2. Step 2: Convert to fraction form
    598,602/814,205 = 814,205/x
  3. Step 3: Cross multiply
    598,602x = 814,205 × 814,205
  4. Step 4: Simplify right side
    598,602x = 662,929,782,025
  5. Step 5: Solve for x
    x = 662,929,782,025/598,602
  6. Step 6: Final answer
    x = 1,107,463.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.