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Finding the Third Proportional to 257,226.50 and 553,960.63

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Solution

The third proportional to 257,226.50 and 553,960.63 is: 1,193,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,226.50 : 553,960.63 = 553,960.63 : x
  2. Step 2: Convert to fraction form
    257,226.50/553,960.63 = 553,960.63/x
  3. Step 3: Cross multiply
    257,226.50x = 553,960.63 × 553,960.63
  4. Step 4: Simplify right side
    257,226.50x = 306,872,374,050.39
  5. Step 5: Solve for x
    x = 306,872,374,050.39/257,226.50
  6. Step 6: Final answer
    x = 1,193,004.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.