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Finding the Third Proportional to 247,975.50 and 506,458.50

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Solution

The third proportional to 247,975.50 and 506,458.50 is: 1,034,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,975.50 : 506,458.50 = 506,458.50 : x
  2. Step 2: Convert to fraction form
    247,975.50/506,458.50 = 506,458.50/x
  3. Step 3: Cross multiply
    247,975.50x = 506,458.50 × 506,458.50
  4. Step 4: Simplify right side
    247,975.50x = 256,500,212,222.25
  5. Step 5: Solve for x
    x = 256,500,212,222.25/247,975.50
  6. Step 6: Final answer
    x = 1,034,377.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.