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Finding the Third Proportional to 672,067.13 and 1,064,704.50

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Solution

The third proportional to 672,067.13 and 1,064,704.50 is: 1,686,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,067.13 : 1,064,704.50 = 1,064,704.50 : x
  2. Step 2: Convert to fraction form
    672,067.13/1,064,704.50 = 1,064,704.50/x
  3. Step 3: Cross multiply
    672,067.13x = 1,064,704.50 × 1,064,704.50
  4. Step 4: Simplify right side
    672,067.13x = 1,133,595,672,320.25
  5. Step 5: Solve for x
    x = 1,133,595,672,320.25/672,067.13
  6. Step 6: Final answer
    x = 1,686,729.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.