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Finding the Third Proportional to 483,745.50 and 1,053,145.13

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Solution

The third proportional to 483,745.50 and 1,053,145.13 is: 2,292,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,745.50 : 1,053,145.13 = 1,053,145.13 : x
  2. Step 2: Convert to fraction form
    483,745.50/1,053,145.13 = 1,053,145.13/x
  3. Step 3: Cross multiply
    483,745.50x = 1,053,145.13 × 1,053,145.13
  4. Step 4: Simplify right side
    483,745.50x = 1,109,114,654,311.27
  5. Step 5: Solve for x
    x = 1,109,114,654,311.27/483,745.50
  6. Step 6: Final answer
    x = 2,292,764.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.