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Finding the Third Proportional to 438,406.50 and 956,247

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Solution

The third proportional to 438,406.50 and 956,247 is: 2,085,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,406.50 : 956,247 = 956,247 : x
  2. Step 2: Convert to fraction form
    438,406.50/956,247 = 956,247/x
  3. Step 3: Cross multiply
    438,406.50x = 956,247 × 956,247
  4. Step 4: Simplify right side
    438,406.50x = 914,408,325,009
  5. Step 5: Solve for x
    x = 914,408,325,009/438,406.50
  6. Step 6: Final answer
    x = 2,085,754.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.