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Finding the Third Proportional to 415,067.63 and 622,603.13

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Solution

The third proportional to 415,067.63 and 622,603.13 is: 933,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,067.63 : 622,603.13 = 622,603.13 : x
  2. Step 2: Convert to fraction form
    415,067.63/622,603.13 = 622,603.13/x
  3. Step 3: Cross multiply
    415,067.63x = 622,603.13 × 622,603.13
  4. Step 4: Simplify right side
    415,067.63x = 387,634,651,259.77
  5. Step 5: Solve for x
    x = 387,634,651,259.77/415,067.63
  6. Step 6: Final answer
    x = 933,907.22

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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.