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Finding the Third Proportional to 282,813 and 395,600.06

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Solution

The third proportional to 282,813 and 395,600.06 is: 553,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,813 : 395,600.06 = 395,600.06 : x
  2. Step 2: Convert to fraction form
    282,813/395,600.06 = 395,600.06/x
  3. Step 3: Cross multiply
    282,813x = 395,600.06 × 395,600.06
  4. Step 4: Simplify right side
    282,813x = 156,499,409,450.00
  5. Step 5: Solve for x
    x = 156,499,409,450.00/282,813
  6. Step 6: Final answer
    x = 553,367.10

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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.