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Finding the Third Proportional to 433,363.50 and 1,048,639.50

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Solution

The third proportional to 433,363.50 and 1,048,639.50 is: 2,537,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,363.50 : 1,048,639.50 = 1,048,639.50 : x
  2. Step 2: Convert to fraction form
    433,363.50/1,048,639.50 = 1,048,639.50/x
  3. Step 3: Cross multiply
    433,363.50x = 1,048,639.50 × 1,048,639.50
  4. Step 4: Simplify right side
    433,363.50x = 1,099,644,800,960.25
  5. Step 5: Solve for x
    x = 1,099,644,800,960.25/433,363.50
  6. Step 6: Final answer
    x = 2,537,465.20

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.