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Finding the Third Proportional to 301,464.75 and 659,427

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Solution

The third proportional to 301,464.75 and 659,427 is: 1,442,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464.75 : 659,427 = 659,427 : x
  2. Step 2: Convert to fraction form
    301,464.75/659,427 = 659,427/x
  3. Step 3: Cross multiply
    301,464.75x = 659,427 × 659,427
  4. Step 4: Simplify right side
    301,464.75x = 434,843,968,329
  5. Step 5: Solve for x
    x = 434,843,968,329/301,464.75
  6. Step 6: Final answer
    x = 1,442,437.19

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Why These Related Problems?

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