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Finding the Third Proportional to 287,055 and 448,024

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Solution

The third proportional to 287,055 and 448,024 is: 699,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,055 : 448,024 = 448,024 : x
  2. Step 2: Convert to fraction form
    287,055/448,024 = 448,024/x
  3. Step 3: Cross multiply
    287,055x = 448,024 × 448,024
  4. Step 4: Simplify right side
    287,055x = 200,725,504,576
  5. Step 5: Solve for x
    x = 200,725,504,576/287,055
  6. Step 6: Final answer
    x = 699,258.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.