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Finding the Third Proportional to 242,608.50 and 526,448.25

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Solution

The third proportional to 242,608.50 and 526,448.25 is: 1,142,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,608.50 : 526,448.25 = 526,448.25 : x
  2. Step 2: Convert to fraction form
    242,608.50/526,448.25 = 526,448.25/x
  3. Step 3: Cross multiply
    242,608.50x = 526,448.25 × 526,448.25
  4. Step 4: Simplify right side
    242,608.50x = 277,147,759,928.06
  5. Step 5: Solve for x
    x = 277,147,759,928.06/242,608.50
  6. Step 6: Final answer
    x = 1,142,366.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.