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Finding the Third Proportional to 209,693.81 and 448,775.44

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Solution

The third proportional to 209,693.81 and 448,775.44 is: 960,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,693.81 : 448,775.44 = 448,775.44 : x
  2. Step 2: Convert to fraction form
    209,693.81/448,775.44 = 448,775.44/x
  3. Step 3: Cross multiply
    209,693.81x = 448,775.44 × 448,775.44
  4. Step 4: Simplify right side
    209,693.81x = 201,399,393,303.32
  5. Step 5: Solve for x
    x = 201,399,393,303.32/209,693.81
  6. Step 6: Final answer
    x = 960,445.09

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