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Finding the Third Proportional to 360,504 and 561,132

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Solution

The third proportional to 360,504 and 561,132 is: 873,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,504 : 561,132 = 561,132 : x
  2. Step 2: Convert to fraction form
    360,504/561,132 = 561,132/x
  3. Step 3: Cross multiply
    360,504x = 561,132 × 561,132
  4. Step 4: Simplify right side
    360,504x = 314,869,121,424
  5. Step 5: Solve for x
    x = 314,869,121,424/360,504
  6. Step 6: Final answer
    x = 873,413.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.