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Finding the Third Proportional to 359,034.61 and 777,907.97

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Solution

The third proportional to 359,034.61 and 777,907.97 is: 1,685,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,034.61 : 777,907.97 = 777,907.97 : x
  2. Step 2: Convert to fraction form
    359,034.61/777,907.97 = 777,907.97/x
  3. Step 3: Cross multiply
    359,034.61x = 777,907.97 × 777,907.97
  4. Step 4: Simplify right side
    359,034.61x = 605,140,807,844.75
  5. Step 5: Solve for x
    x = 605,140,807,844.75/359,034.61
  6. Step 6: Final answer
    x = 1,685,466.50

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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.