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Finding the Third Proportional to 254,852 and 404,878

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Solution

The third proportional to 254,852 and 404,878 is: 643,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,852 : 404,878 = 404,878 : x
  2. Step 2: Convert to fraction form
    254,852/404,878 = 404,878/x
  3. Step 3: Cross multiply
    254,852x = 404,878 × 404,878
  4. Step 4: Simplify right side
    254,852x = 163,926,194,884
  5. Step 5: Solve for x
    x = 163,926,194,884/254,852
  6. Step 6: Final answer
    x = 643,221.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.