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Finding the Third Proportional to 301,448.25 and 468,779.06

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Solution

The third proportional to 301,448.25 and 468,779.06 is: 728,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,448.25 : 468,779.06 = 468,779.06 : x
  2. Step 2: Convert to fraction form
    301,448.25/468,779.06 = 468,779.06/x
  3. Step 3: Cross multiply
    301,448.25x = 468,779.06 × 468,779.06
  4. Step 4: Simplify right side
    301,448.25x = 219,753,809,438.38
  5. Step 5: Solve for x
    x = 219,753,809,438.38/301,448.25
  6. Step 6: Final answer
    x = 728,993.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.