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Finding the Third Proportional to 247,267.69 and 523,444.78

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Solution

The third proportional to 247,267.69 and 523,444.78 is: 1,108,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,267.69 : 523,444.78 = 523,444.78 : x
  2. Step 2: Convert to fraction form
    247,267.69/523,444.78 = 523,444.78/x
  3. Step 3: Cross multiply
    247,267.69x = 523,444.78 × 523,444.78
  4. Step 4: Simplify right side
    247,267.69x = 273,994,439,017.86
  5. Step 5: Solve for x
    x = 273,994,439,017.86/247,267.69
  6. Step 6: Final answer
    x = 1,108,088.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.