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Finding the Third Proportional to 305,834.06 and 719,568.56

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Solution

The third proportional to 305,834.06 and 719,568.56 is: 1,693,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,834.06 : 719,568.56 = 719,568.56 : x
  2. Step 2: Convert to fraction form
    305,834.06/719,568.56 = 719,568.56/x
  3. Step 3: Cross multiply
    305,834.06x = 719,568.56 × 719,568.56
  4. Step 4: Simplify right side
    305,834.06x = 517,778,916,138.32
  5. Step 5: Solve for x
    x = 517,778,916,138.32/305,834.06
  6. Step 6: Final answer
    x = 1,693,006.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.