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Finding the Third Proportional to 214,250 and 409,060

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Solution

The third proportional to 214,250 and 409,060 is: 781,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,250 : 409,060 = 409,060 : x
  2. Step 2: Convert to fraction form
    214,250/409,060 = 409,060/x
  3. Step 3: Cross multiply
    214,250x = 409,060 × 409,060
  4. Step 4: Simplify right side
    214,250x = 167,330,083,600
  5. Step 5: Solve for x
    x = 167,330,083,600/214,250
  6. Step 6: Final answer
    x = 781,003.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.