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Finding the Third Proportional to 325,701 and 503,315.44

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Solution

The third proportional to 325,701 and 503,315.44 is: 777,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,701 : 503,315.44 = 503,315.44 : x
  2. Step 2: Convert to fraction form
    325,701/503,315.44 = 503,315.44/x
  3. Step 3: Cross multiply
    325,701x = 503,315.44 × 503,315.44
  4. Step 4: Simplify right side
    325,701x = 253,326,429,625.82
  5. Step 5: Solve for x
    x = 253,326,429,625.82/325,701
  6. Step 6: Final answer
    x = 777,788.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.