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Finding the Third Proportional to 214,366.50 and 457,199.44

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Solution

The third proportional to 214,366.50 and 457,199.44 is: 975,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,366.50 : 457,199.44 = 457,199.44 : x
  2. Step 2: Convert to fraction form
    214,366.50/457,199.44 = 457,199.44/x
  3. Step 3: Cross multiply
    214,366.50x = 457,199.44 × 457,199.44
  4. Step 4: Simplify right side
    214,366.50x = 209,031,325,650.32
  5. Step 5: Solve for x
    x = 209,031,325,650.32/214,366.50
  6. Step 6: Final answer
    x = 975,111.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.