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Finding the Third Proportional to 359,077.50 and 777,996

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Solution

The third proportional to 359,077.50 and 777,996 is: 1,685,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,077.50 : 777,996 = 777,996 : x
  2. Step 2: Convert to fraction form
    359,077.50/777,996 = 777,996/x
  3. Step 3: Cross multiply
    359,077.50x = 777,996 × 777,996
  4. Step 4: Simplify right side
    359,077.50x = 605,277,776,016
  5. Step 5: Solve for x
    x = 605,277,776,016/359,077.50
  6. Step 6: Final answer
    x = 1,685,646.63

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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.