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Finding the Third Proportional to 482,009.50 and 747,247

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Solution

The third proportional to 482,009.50 and 747,247 is: 1,158,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,009.50 : 747,247 = 747,247 : x
  2. Step 2: Convert to fraction form
    482,009.50/747,247 = 747,247/x
  3. Step 3: Cross multiply
    482,009.50x = 747,247 × 747,247
  4. Step 4: Simplify right side
    482,009.50x = 558,378,079,009
  5. Step 5: Solve for x
    x = 558,378,079,009/482,009.50
  6. Step 6: Final answer
    x = 1,158,437.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.