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Finding the Third Proportional to 209,855.63 and 449,653.88

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Solution

The third proportional to 209,855.63 and 449,653.88 is: 963,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.63 : 449,653.88 = 449,653.88 : x
  2. Step 2: Convert to fraction form
    209,855.63/449,653.88 = 449,653.88/x
  3. Step 3: Cross multiply
    209,855.63x = 449,653.88 × 449,653.88
  4. Step 4: Simplify right side
    209,855.63x = 202,188,607,302.52
  5. Step 5: Solve for x
    x = 202,188,607,302.52/209,855.63
  6. Step 6: Final answer
    x = 963,465.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.