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Finding the Third Proportional to 282,419.16 and 395,015.48

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Solution

The third proportional to 282,419.16 and 395,015.48 is: 552,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,419.16 : 395,015.48 = 395,015.48 : x
  2. Step 2: Convert to fraction form
    282,419.16/395,015.48 = 395,015.48/x
  3. Step 3: Cross multiply
    282,419.16x = 395,015.48 × 395,015.48
  4. Step 4: Simplify right side
    282,419.16x = 156,037,232,896.02
  5. Step 5: Solve for x
    x = 156,037,232,896.02/282,419.16
  6. Step 6: Final answer
    x = 552,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.