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Finding the Third Proportional to 309,645.75 and 436,038

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Solution

The third proportional to 309,645.75 and 436,038 is: 614,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,645.75 : 436,038 = 436,038 : x
  2. Step 2: Convert to fraction form
    309,645.75/436,038 = 436,038/x
  3. Step 3: Cross multiply
    309,645.75x = 436,038 × 436,038
  4. Step 4: Simplify right side
    309,645.75x = 190,129,137,444
  5. Step 5: Solve for x
    x = 190,129,137,444/309,645.75
  6. Step 6: Final answer
    x = 614,021.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.