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Finding the Third Proportional to 257,083.50 and 557,070.75

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Solution

The third proportional to 257,083.50 and 557,070.75 is: 1,207,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,083.50 : 557,070.75 = 557,070.75 : x
  2. Step 2: Convert to fraction form
    257,083.50/557,070.75 = 557,070.75/x
  3. Step 3: Cross multiply
    257,083.50x = 557,070.75 × 557,070.75
  4. Step 4: Simplify right side
    257,083.50x = 310,327,820,505.56
  5. Step 5: Solve for x
    x = 310,327,820,505.56/257,083.50
  6. Step 6: Final answer
    x = 1,207,109.05

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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.