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Finding the Third Proportional to 368,713.50 and 774,507

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Solution

The third proportional to 368,713.50 and 774,507 is: 1,626,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,713.50 : 774,507 = 774,507 : x
  2. Step 2: Convert to fraction form
    368,713.50/774,507 = 774,507/x
  3. Step 3: Cross multiply
    368,713.50x = 774,507 × 774,507
  4. Step 4: Simplify right side
    368,713.50x = 599,861,093,049
  5. Step 5: Solve for x
    x = 599,861,093,049/368,713.50
  6. Step 6: Final answer
    x = 1,626,902.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.