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Finding the Third Proportional to 255,927 and 598,077

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Solution

The third proportional to 255,927 and 598,077 is: 1,397,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,927 : 598,077 = 598,077 : x
  2. Step 2: Convert to fraction form
    255,927/598,077 = 598,077/x
  3. Step 3: Cross multiply
    255,927x = 598,077 × 598,077
  4. Step 4: Simplify right side
    255,927x = 357,696,097,929
  5. Step 5: Solve for x
    x = 357,696,097,929/255,927
  6. Step 6: Final answer
    x = 1,397,648.93

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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.