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Finding the Third Proportional to 275,494.50 and 584,064

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Solution

The third proportional to 275,494.50 and 584,064 is: 1,238,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,494.50 : 584,064 = 584,064 : x
  2. Step 2: Convert to fraction form
    275,494.50/584,064 = 584,064/x
  3. Step 3: Cross multiply
    275,494.50x = 584,064 × 584,064
  4. Step 4: Simplify right side
    275,494.50x = 341,130,756,096
  5. Step 5: Solve for x
    x = 341,130,756,096/275,494.50
  6. Step 6: Final answer
    x = 1,238,248.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.