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Finding the Third Proportional to 301,089 and 662,061.75

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Solution

The third proportional to 301,089 and 662,061.75 is: 1,455,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,089 : 662,061.75 = 662,061.75 : x
  2. Step 2: Convert to fraction form
    301,089/662,061.75 = 662,061.75/x
  3. Step 3: Cross multiply
    301,089x = 662,061.75 × 662,061.75
  4. Step 4: Simplify right side
    301,089x = 438,325,760,813.06
  5. Step 5: Solve for x
    x = 438,325,760,813.06/301,089
  6. Step 6: Final answer
    x = 1,455,801.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.