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Finding the Third Proportional to 214,328 and 465,564

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Solution

The third proportional to 214,328 and 465,564 is: 1,011,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,328 : 465,564 = 465,564 : x
  2. Step 2: Convert to fraction form
    214,328/465,564 = 465,564/x
  3. Step 3: Cross multiply
    214,328x = 465,564 × 465,564
  4. Step 4: Simplify right side
    214,328x = 216,749,838,096
  5. Step 5: Solve for x
    x = 216,749,838,096/214,328
  6. Step 6: Final answer
    x = 1,011,299.68

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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.