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Finding the Third Proportional to 455,489.25 and 996,784.50

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Solution

The third proportional to 455,489.25 and 996,784.50 is: 2,181,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,489.25 : 996,784.50 = 996,784.50 : x
  2. Step 2: Convert to fraction form
    455,489.25/996,784.50 = 996,784.50/x
  3. Step 3: Cross multiply
    455,489.25x = 996,784.50 × 996,784.50
  4. Step 4: Simplify right side
    455,489.25x = 993,579,339,440.25
  5. Step 5: Solve for x
    x = 993,579,339,440.25/455,489.25
  6. Step 6: Final answer
    x = 2,181,345.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.