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Finding the Third Proportional to 359,745 and 773,923.50

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Solution

The third proportional to 359,745 and 773,923.50 is: 1,664,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,745 : 773,923.50 = 773,923.50 : x
  2. Step 2: Convert to fraction form
    359,745/773,923.50 = 773,923.50/x
  3. Step 3: Cross multiply
    359,745x = 773,923.50 × 773,923.50
  4. Step 4: Simplify right side
    359,745x = 598,957,583,852.25
  5. Step 5: Solve for x
    x = 598,957,583,852.25/359,745
  6. Step 6: Final answer
    x = 1,664,950.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.