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Finding the Third Proportional to 430,821 and 937,183.50

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Solution

The third proportional to 430,821 and 937,183.50 is: 2,038,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,821 : 937,183.50 = 937,183.50 : x
  2. Step 2: Convert to fraction form
    430,821/937,183.50 = 937,183.50/x
  3. Step 3: Cross multiply
    430,821x = 937,183.50 × 937,183.50
  4. Step 4: Simplify right side
    430,821x = 878,312,912,672.25
  5. Step 5: Solve for x
    x = 878,312,912,672.25/430,821
  6. Step 6: Final answer
    x = 2,038,695.68

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Why These Related Problems?

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