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Finding the Third Proportional to 283,216.50 and 460,090.13

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Solution

The third proportional to 283,216.50 and 460,090.13 is: 747,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216.50 : 460,090.13 = 460,090.13 : x
  2. Step 2: Convert to fraction form
    283,216.50/460,090.13 = 460,090.13/x
  3. Step 3: Cross multiply
    283,216.50x = 460,090.13 × 460,090.13
  4. Step 4: Simplify right side
    283,216.50x = 211,682,923,122.52
  5. Step 5: Solve for x
    x = 211,682,923,122.52/283,216.50
  6. Step 6: Final answer
    x = 747,424.40

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.