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Finding the Third Proportional to 483,784.50 and 725,859

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Solution

The third proportional to 483,784.50 and 725,859 is: 1,089,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,784.50 : 725,859 = 725,859 : x
  2. Step 2: Convert to fraction form
    483,784.50/725,859 = 725,859/x
  3. Step 3: Cross multiply
    483,784.50x = 725,859 × 725,859
  4. Step 4: Simplify right side
    483,784.50x = 526,871,287,881
  5. Step 5: Solve for x
    x = 526,871,287,881/483,784.50
  6. Step 6: Final answer
    x = 1,089,061.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.