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Finding the Third Proportional to 405,477 and 584,079

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Solution

The third proportional to 405,477 and 584,079 is: 841,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,477 : 584,079 = 584,079 : x
  2. Step 2: Convert to fraction form
    405,477/584,079 = 584,079/x
  3. Step 3: Cross multiply
    405,477x = 584,079 × 584,079
  4. Step 4: Simplify right side
    405,477x = 341,148,278,241
  5. Step 5: Solve for x
    x = 341,148,278,241/405,477
  6. Step 6: Final answer
    x = 841,350.50

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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.