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Finding the Third Proportional to 214,564 and 465,272

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Solution

The third proportional to 214,564 and 465,272 is: 1,008,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,564 : 465,272 = 465,272 : x
  2. Step 2: Convert to fraction form
    214,564/465,272 = 465,272/x
  3. Step 3: Cross multiply
    214,564x = 465,272 × 465,272
  4. Step 4: Simplify right side
    214,564x = 216,478,033,984
  5. Step 5: Solve for x
    x = 216,478,033,984/214,564
  6. Step 6: Final answer
    x = 1,008,920.57

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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.