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Finding the Third Proportional to 509,051.25 and 1,005,249.75

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Solution

The third proportional to 509,051.25 and 1,005,249.75 is: 1,985,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,051.25 : 1,005,249.75 = 1,005,249.75 : x
  2. Step 2: Convert to fraction form
    509,051.25/1,005,249.75 = 1,005,249.75/x
  3. Step 3: Cross multiply
    509,051.25x = 1,005,249.75 × 1,005,249.75
  4. Step 4: Simplify right side
    509,051.25x = 1,010,527,059,875.06
  5. Step 5: Solve for x
    x = 1,010,527,059,875.06/509,051.25
  6. Step 6: Final answer
    x = 1,985,118.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.