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Finding the Third Proportional to 190,393 and 413,560

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Solution

The third proportional to 190,393 and 413,560 is: 898,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,393 : 413,560 = 413,560 : x
  2. Step 2: Convert to fraction form
    190,393/413,560 = 413,560/x
  3. Step 3: Cross multiply
    190,393x = 413,560 × 413,560
  4. Step 4: Simplify right side
    190,393x = 171,031,873,600
  5. Step 5: Solve for x
    x = 171,031,873,600/190,393
  6. Step 6: Final answer
    x = 898,309.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.