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Finding the Third Proportional to 508,322.25 and 1,100,328.75

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Solution

The third proportional to 508,322.25 and 1,100,328.75 is: 2,381,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,322.25 : 1,100,328.75 = 1,100,328.75 : x
  2. Step 2: Convert to fraction form
    508,322.25/1,100,328.75 = 1,100,328.75/x
  3. Step 3: Cross multiply
    508,322.25x = 1,100,328.75 × 1,100,328.75
  4. Step 4: Simplify right side
    508,322.25x = 1,210,723,358,076.56
  5. Step 5: Solve for x
    x = 1,210,723,358,076.56/508,322.25
  6. Step 6: Final answer
    x = 2,381,802.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.