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Finding the Third Proportional to 359,231.75 and 598,693.75

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Solution

The third proportional to 359,231.75 and 598,693.75 is: 997,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,231.75 : 598,693.75 = 598,693.75 : x
  2. Step 2: Convert to fraction form
    359,231.75/598,693.75 = 598,693.75/x
  3. Step 3: Cross multiply
    359,231.75x = 598,693.75 × 598,693.75
  4. Step 4: Simplify right side
    359,231.75x = 358,434,206,289.06
  5. Step 5: Solve for x
    x = 358,434,206,289.06/359,231.75
  6. Step 6: Final answer
    x = 997,779.86

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.