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Finding the Third Proportional to 229,077 and 379,603.13

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Solution

The third proportional to 229,077 and 379,603.13 is: 629,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077 : 379,603.13 = 379,603.13 : x
  2. Step 2: Convert to fraction form
    229,077/379,603.13 = 379,603.13/x
  3. Step 3: Cross multiply
    229,077x = 379,603.13 × 379,603.13
  4. Step 4: Simplify right side
    229,077x = 144,098,532,509.77
  5. Step 5: Solve for x
    x = 144,098,532,509.77/229,077
  6. Step 6: Final answer
    x = 629,039.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.