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Finding the Third Proportional to 282,271.50 and 605,475

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Solution

The third proportional to 282,271.50 and 605,475 is: 1,298,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,271.50 : 605,475 = 605,475 : x
  2. Step 2: Convert to fraction form
    282,271.50/605,475 = 605,475/x
  3. Step 3: Cross multiply
    282,271.50x = 605,475 × 605,475
  4. Step 4: Simplify right side
    282,271.50x = 366,599,975,625
  5. Step 5: Solve for x
    x = 366,599,975,625/282,271.50
  6. Step 6: Final answer
    x = 1,298,749.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.