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Finding the Third Proportional to 482,233.50 and 1,050,205.50

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Solution

The third proportional to 482,233.50 and 1,050,205.50 is: 2,287,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,233.50 : 1,050,205.50 = 1,050,205.50 : x
  2. Step 2: Convert to fraction form
    482,233.50/1,050,205.50 = 1,050,205.50/x
  3. Step 3: Cross multiply
    482,233.50x = 1,050,205.50 × 1,050,205.50
  4. Step 4: Simplify right side
    482,233.50x = 1,102,931,592,230.25
  5. Step 5: Solve for x
    x = 1,102,931,592,230.25/482,233.50
  6. Step 6: Final answer
    x = 2,287,131.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.