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Finding the Third Proportional to 291,137.25 and 462,950.25

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Solution

The third proportional to 291,137.25 and 462,950.25 is: 736,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,137.25 : 462,950.25 = 462,950.25 : x
  2. Step 2: Convert to fraction form
    291,137.25/462,950.25 = 462,950.25/x
  3. Step 3: Cross multiply
    291,137.25x = 462,950.25 × 462,950.25
  4. Step 4: Simplify right side
    291,137.25x = 214,322,933,975.06
  5. Step 5: Solve for x
    x = 214,322,933,975.06/291,137.25
  6. Step 6: Final answer
    x = 736,157.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.