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Finding the Third Proportional to 415,100 and 622,654

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Solution

The third proportional to 415,100 and 622,654 is: 933,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,100 : 622,654 = 622,654 : x
  2. Step 2: Convert to fraction form
    415,100/622,654 = 622,654/x
  3. Step 3: Cross multiply
    415,100x = 622,654 × 622,654
  4. Step 4: Simplify right side
    415,100x = 387,698,003,716
  5. Step 5: Solve for x
    x = 387,698,003,716/415,100
  6. Step 6: Final answer
    x = 933,987.00

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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.