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Finding the Third Proportional to 215,263 and 473,300

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Solution

The third proportional to 215,263 and 473,300 is: 1,040,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,263 : 473,300 = 473,300 : x
  2. Step 2: Convert to fraction form
    215,263/473,300 = 473,300/x
  3. Step 3: Cross multiply
    215,263x = 473,300 × 473,300
  4. Step 4: Simplify right side
    215,263x = 224,012,890,000
  5. Step 5: Solve for x
    x = 224,012,890,000/215,263
  6. Step 6: Final answer
    x = 1,040,647.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.