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Finding the Third Proportional to 493,880.41 and 1,077,496.17

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Solution

The third proportional to 493,880.41 and 1,077,496.17 is: 2,350,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,880.41 : 1,077,496.17 = 1,077,496.17 : x
  2. Step 2: Convert to fraction form
    493,880.41/1,077,496.17 = 1,077,496.17/x
  3. Step 3: Cross multiply
    493,880.41x = 1,077,496.17 × 1,077,496.17
  4. Step 4: Simplify right side
    493,880.41x = 1,160,998,000,405.28
  5. Step 5: Solve for x
    x = 1,160,998,000,405.28/493,880.41
  6. Step 6: Final answer
    x = 2,350,767.45

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Why These Related Problems?

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