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Finding the Third Proportional to 500,269.50 and 1,095,410.25

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Solution

The third proportional to 500,269.50 and 1,095,410.25 is: 2,398,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,269.50 : 1,095,410.25 = 1,095,410.25 : x
  2. Step 2: Convert to fraction form
    500,269.50/1,095,410.25 = 1,095,410.25/x
  3. Step 3: Cross multiply
    500,269.50x = 1,095,410.25 × 1,095,410.25
  4. Step 4: Simplify right side
    500,269.50x = 1,199,923,615,805.06
  5. Step 5: Solve for x
    x = 1,199,923,615,805.06/500,269.50
  6. Step 6: Final answer
    x = 2,398,554.41

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