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Finding the Third Proportional to 262,067.06 and 573,206.63

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Solution

The third proportional to 262,067.06 and 573,206.63 is: 1,253,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,067.06 : 573,206.63 = 573,206.63 : x
  2. Step 2: Convert to fraction form
    262,067.06/573,206.63 = 573,206.63/x
  3. Step 3: Cross multiply
    262,067.06x = 573,206.63 × 573,206.63
  4. Step 4: Simplify right side
    262,067.06x = 328,565,834,943.89
  5. Step 5: Solve for x
    x = 328,565,834,943.89/262,067.06
  6. Step 6: Final answer
    x = 1,253,747.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.