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Finding the Third Proportional to 282,380.63 and 579,793.50

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Solution

The third proportional to 282,380.63 and 579,793.50 is: 1,190,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,380.63 : 579,793.50 = 579,793.50 : x
  2. Step 2: Convert to fraction form
    282,380.63/579,793.50 = 579,793.50/x
  3. Step 3: Cross multiply
    282,380.63x = 579,793.50 × 579,793.50
  4. Step 4: Simplify right side
    282,380.63x = 336,160,502,642.25
  5. Step 5: Solve for x
    x = 336,160,502,642.25/282,380.63
  6. Step 6: Final answer
    x = 1,190,451.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.