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Finding the Third Proportional to 357,207.75 and 485,128.13

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Solution

The third proportional to 357,207.75 and 485,128.13 is: 658,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,207.75 : 485,128.13 = 485,128.13 : x
  2. Step 2: Convert to fraction form
    357,207.75/485,128.13 = 485,128.13/x
  3. Step 3: Cross multiply
    357,207.75x = 485,128.13 × 485,128.13
  4. Step 4: Simplify right side
    357,207.75x = 235,349,297,666.02
  5. Step 5: Solve for x
    x = 235,349,297,666.02/357,207.75
  6. Step 6: Final answer
    x = 658,858.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.