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Finding the Third Proportional to 590,464.69 and 832,067.44

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Solution

The third proportional to 590,464.69 and 832,067.44 is: 1,172,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,464.69 : 832,067.44 = 832,067.44 : x
  2. Step 2: Convert to fraction form
    590,464.69/832,067.44 = 832,067.44/x
  3. Step 3: Cross multiply
    590,464.69x = 832,067.44 × 832,067.44
  4. Step 4: Simplify right side
    590,464.69x = 692,336,220,547.82
  5. Step 5: Solve for x
    x = 692,336,220,547.82/590,464.69
  6. Step 6: Final answer
    x = 1,172,527.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.