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Finding the Third Proportional to 209,477.25 and 455,404.50

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Solution

The third proportional to 209,477.25 and 455,404.50 is: 990,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,477.25 : 455,404.50 = 455,404.50 : x
  2. Step 2: Convert to fraction form
    209,477.25/455,404.50 = 455,404.50/x
  3. Step 3: Cross multiply
    209,477.25x = 455,404.50 × 455,404.50
  4. Step 4: Simplify right side
    209,477.25x = 207,393,258,620.25
  5. Step 5: Solve for x
    x = 207,393,258,620.25/209,477.25
  6. Step 6: Final answer
    x = 990,051.47

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