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Finding the Third Proportional to 255,938 and 598,112

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Solution

The third proportional to 255,938 and 598,112 is: 1,397,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,938 : 598,112 = 598,112 : x
  2. Step 2: Convert to fraction form
    255,938/598,112 = 598,112/x
  3. Step 3: Cross multiply
    255,938x = 598,112 × 598,112
  4. Step 4: Simplify right side
    255,938x = 357,737,964,544
  5. Step 5: Solve for x
    x = 357,737,964,544/255,938
  6. Step 6: Final answer
    x = 1,397,752.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.