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Finding the Third Proportional to 415,070 and 622,606

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Solution

The third proportional to 415,070 and 622,606 is: 933,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,070 : 622,606 = 622,606 : x
  2. Step 2: Convert to fraction form
    415,070/622,606 = 622,606/x
  3. Step 3: Cross multiply
    415,070x = 622,606 × 622,606
  4. Step 4: Simplify right side
    415,070x = 387,638,231,236
  5. Step 5: Solve for x
    x = 387,638,231,236/415,070
  6. Step 6: Final answer
    x = 933,910.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.