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Finding the Third Proportional to 585,333.50 and 1,277,019.50

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Solution

The third proportional to 585,333.50 and 1,277,019.50 is: 2,786,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,333.50 : 1,277,019.50 = 1,277,019.50 : x
  2. Step 2: Convert to fraction form
    585,333.50/1,277,019.50 = 1,277,019.50/x
  3. Step 3: Cross multiply
    585,333.50x = 1,277,019.50 × 1,277,019.50
  4. Step 4: Simplify right side
    585,333.50x = 1,630,778,803,380.25
  5. Step 5: Solve for x
    x = 1,630,778,803,380.25/585,333.50
  6. Step 6: Final answer
    x = 2,786,067.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.