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Finding the Third Proportional to 509,054.25 and 1,005,258.75

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Solution

The third proportional to 509,054.25 and 1,005,258.75 is: 1,985,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,054.25 : 1,005,258.75 = 1,005,258.75 : x
  2. Step 2: Convert to fraction form
    509,054.25/1,005,258.75 = 1,005,258.75/x
  3. Step 3: Cross multiply
    509,054.25x = 1,005,258.75 × 1,005,258.75
  4. Step 4: Simplify right side
    509,054.25x = 1,010,545,154,451.56
  5. Step 5: Solve for x
    x = 1,010,545,154,451.56/509,054.25
  6. Step 6: Final answer
    x = 1,985,142.36

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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.