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Finding the Third Proportional to 258,038.16 and 379,452.09

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Solution

The third proportional to 258,038.16 and 379,452.09 is: 557,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,038.16 : 379,452.09 = 379,452.09 : x
  2. Step 2: Convert to fraction form
    258,038.16/379,452.09 = 379,452.09/x
  3. Step 3: Cross multiply
    258,038.16x = 379,452.09 × 379,452.09
  4. Step 4: Simplify right side
    258,038.16x = 143,983,891,451.26
  5. Step 5: Solve for x
    x = 143,983,891,451.26/258,038.16
  6. Step 6: Final answer
    x = 557,994.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.