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Finding the Third Proportional to 449,455.50 and 973,755

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Solution

The third proportional to 449,455.50 and 973,755 is: 2,109,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,455.50 : 973,755 = 973,755 : x
  2. Step 2: Convert to fraction form
    449,455.50/973,755 = 973,755/x
  3. Step 3: Cross multiply
    449,455.50x = 973,755 × 973,755
  4. Step 4: Simplify right side
    449,455.50x = 948,198,800,025
  5. Step 5: Solve for x
    x = 948,198,800,025/449,455.50
  6. Step 6: Final answer
    x = 2,109,661.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.