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Finding the Third Proportional to 243,683.41 and 543,397.55

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Solution

The third proportional to 243,683.41 and 543,397.55 is: 1,211,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,683.41 : 543,397.55 = 543,397.55 : x
  2. Step 2: Convert to fraction form
    243,683.41/543,397.55 = 543,397.55/x
  3. Step 3: Cross multiply
    243,683.41x = 543,397.55 × 543,397.55
  4. Step 4: Simplify right side
    243,683.41x = 295,280,893,949.77
  5. Step 5: Solve for x
    x = 295,280,893,949.77/243,683.41
  6. Step 6: Final answer
    x = 1,211,739.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.