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Finding the Third Proportional to 405,614 and 584,199

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Solution

The third proportional to 405,614 and 584,199 is: 841,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,614 : 584,199 = 584,199 : x
  2. Step 2: Convert to fraction form
    405,614/584,199 = 584,199/x
  3. Step 3: Cross multiply
    405,614x = 584,199 × 584,199
  4. Step 4: Simplify right side
    405,614x = 341,288,471,601
  5. Step 5: Solve for x
    x = 341,288,471,601/405,614
  6. Step 6: Final answer
    x = 841,411.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.