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Finding the Third Proportional to 560,643.75 and 840,792.94

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Solution

The third proportional to 560,643.75 and 840,792.94 is: 1,260,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,643.75 : 840,792.94 = 840,792.94 : x
  2. Step 2: Convert to fraction form
    560,643.75/840,792.94 = 840,792.94/x
  3. Step 3: Cross multiply
    560,643.75x = 840,792.94 × 840,792.94
  4. Step 4: Simplify right side
    560,643.75x = 706,932,763,749.88
  5. Step 5: Solve for x
    x = 706,932,763,749.88/560,643.75
  6. Step 6: Final answer
    x = 1,260,930.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.