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Finding the Third Proportional to 227,527.50 and 505,560

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Solution

The third proportional to 227,527.50 and 505,560 is: 1,123,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,527.50 : 505,560 = 505,560 : x
  2. Step 2: Convert to fraction form
    227,527.50/505,560 = 505,560/x
  3. Step 3: Cross multiply
    227,527.50x = 505,560 × 505,560
  4. Step 4: Simplify right side
    227,527.50x = 255,590,913,600
  5. Step 5: Solve for x
    x = 255,590,913,600/227,527.50
  6. Step 6: Final answer
    x = 1,123,340.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.