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Finding the Third Proportional to 309,627.56 and 436,023.84

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Solution

The third proportional to 309,627.56 and 436,023.84 is: 614,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,627.56 : 436,023.84 = 436,023.84 : x
  2. Step 2: Convert to fraction form
    309,627.56/436,023.84 = 436,023.84/x
  3. Step 3: Cross multiply
    309,627.56x = 436,023.84 × 436,023.84
  4. Step 4: Simplify right side
    309,627.56x = 190,116,792,318.52
  5. Step 5: Solve for x
    x = 190,116,792,318.52/309,627.56
  6. Step 6: Final answer
    x = 614,017.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.