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Finding the Third Proportional to 282,548 and 395,994

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Solution

The third proportional to 282,548 and 395,994 is: 554,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,548 : 395,994 = 395,994 : x
  2. Step 2: Convert to fraction form
    282,548/395,994 = 395,994/x
  3. Step 3: Cross multiply
    282,548x = 395,994 × 395,994
  4. Step 4: Simplify right side
    282,548x = 156,811,248,036
  5. Step 5: Solve for x
    x = 156,811,248,036/282,548
  6. Step 6: Final answer
    x = 554,989.76

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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.