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Finding the Third Proportional to 504,706.50 and 775,770

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Solution

The third proportional to 504,706.50 and 775,770 is: 1,192,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,706.50 : 775,770 = 775,770 : x
  2. Step 2: Convert to fraction form
    504,706.50/775,770 = 775,770/x
  3. Step 3: Cross multiply
    504,706.50x = 775,770 × 775,770
  4. Step 4: Simplify right side
    504,706.50x = 601,819,092,900
  5. Step 5: Solve for x
    x = 601,819,092,900/504,706.50
  6. Step 6: Final answer
    x = 1,192,413.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.