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Finding the Third Proportional to 413,586 and 623,835

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Solution

The third proportional to 413,586 and 623,835 is: 940,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,586 : 623,835 = 623,835 : x
  2. Step 2: Convert to fraction form
    413,586/623,835 = 623,835/x
  3. Step 3: Cross multiply
    413,586x = 623,835 × 623,835
  4. Step 4: Simplify right side
    413,586x = 389,170,107,225
  5. Step 5: Solve for x
    x = 389,170,107,225/413,586
  6. Step 6: Final answer
    x = 940,965.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.