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Finding the Third Proportional to 290,245.50 and 448,308

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Solution

The third proportional to 290,245.50 and 448,308 is: 692,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,245.50 : 448,308 = 448,308 : x
  2. Step 2: Convert to fraction form
    290,245.50/448,308 = 448,308/x
  3. Step 3: Cross multiply
    290,245.50x = 448,308 × 448,308
  4. Step 4: Simplify right side
    290,245.50x = 200,980,062,864
  5. Step 5: Solve for x
    x = 200,980,062,864/290,245.50
  6. Step 6: Final answer
    x = 692,448.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.