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Finding the Third Proportional to 967,585.50 and 1,353,323.25

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Solution

The third proportional to 967,585.50 and 1,353,323.25 is: 1,892,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,585.50 : 1,353,323.25 = 1,353,323.25 : x
  2. Step 2: Convert to fraction form
    967,585.50/1,353,323.25 = 1,353,323.25/x
  3. Step 3: Cross multiply
    967,585.50x = 1,353,323.25 × 1,353,323.25
  4. Step 4: Simplify right side
    967,585.50x = 1,831,483,818,990.56
  5. Step 5: Solve for x
    x = 1,831,483,818,990.56/967,585.50
  6. Step 6: Final answer
    x = 1,892,839.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.