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Finding the Third Proportional to 413,632 and 604,027

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Solution

The third proportional to 413,632 and 604,027 is: 882,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632 : 604,027 = 604,027 : x
  2. Step 2: Convert to fraction form
    413,632/604,027 = 604,027/x
  3. Step 3: Cross multiply
    413,632x = 604,027 × 604,027
  4. Step 4: Simplify right side
    413,632x = 364,848,616,729
  5. Step 5: Solve for x
    x = 364,848,616,729/413,632
  6. Step 6: Final answer
    x = 882,060.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.