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Finding the Third Proportional to 355,971 and 550,996.50

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Solution

The third proportional to 355,971 and 550,996.50 is: 852,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,971 : 550,996.50 = 550,996.50 : x
  2. Step 2: Convert to fraction form
    355,971/550,996.50 = 550,996.50/x
  3. Step 3: Cross multiply
    355,971x = 550,996.50 × 550,996.50
  4. Step 4: Simplify right side
    355,971x = 303,597,143,012.25
  5. Step 5: Solve for x
    x = 303,597,143,012.25/355,971
  6. Step 6: Final answer
    x = 852,870.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.