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Finding the Third Proportional to 576,203.81 and 1,244,729.44

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Solution

The third proportional to 576,203.81 and 1,244,729.44 is: 2,688,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,203.81 : 1,244,729.44 = 1,244,729.44 : x
  2. Step 2: Convert to fraction form
    576,203.81/1,244,729.44 = 1,244,729.44/x
  3. Step 3: Cross multiply
    576,203.81x = 1,244,729.44 × 1,244,729.44
  4. Step 4: Simplify right side
    576,203.81x = 1,549,351,372,579.07
  5. Step 5: Solve for x
    x = 1,549,351,372,579.07/576,203.81
  6. Step 6: Final answer
    x = 2,688,894.69

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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.