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Finding the Third Proportional to 361,590 and 559,881

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Solution

The third proportional to 361,590 and 559,881 is: 866,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,590 : 559,881 = 559,881 : x
  2. Step 2: Convert to fraction form
    361,590/559,881 = 559,881/x
  3. Step 3: Cross multiply
    361,590x = 559,881 × 559,881
  4. Step 4: Simplify right side
    361,590x = 313,466,734,161
  5. Step 5: Solve for x
    x = 313,466,734,161/361,590
  6. Step 6: Final answer
    x = 866,912.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.