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Finding the Third Proportional to 600,999.75 and 1,295,311.50

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Solution

The third proportional to 600,999.75 and 1,295,311.50 is: 2,791,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,999.75 : 1,295,311.50 = 1,295,311.50 : x
  2. Step 2: Convert to fraction form
    600,999.75/1,295,311.50 = 1,295,311.50/x
  3. Step 3: Cross multiply
    600,999.75x = 1,295,311.50 × 1,295,311.50
  4. Step 4: Simplify right side
    600,999.75x = 1,677,831,882,032.25
  5. Step 5: Solve for x
    x = 1,677,831,882,032.25/600,999.75
  6. Step 6: Final answer
    x = 2,791,734.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.