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Finding the Third Proportional to 291,738.75 and 603,726

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Solution

The third proportional to 291,738.75 and 603,726 is: 1,249,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,738.75 : 603,726 = 603,726 : x
  2. Step 2: Convert to fraction form
    291,738.75/603,726 = 603,726/x
  3. Step 3: Cross multiply
    291,738.75x = 603,726 × 603,726
  4. Step 4: Simplify right side
    291,738.75x = 364,485,083,076
  5. Step 5: Solve for x
    x = 364,485,083,076/291,738.75
  6. Step 6: Final answer
    x = 1,249,354.37

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.