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Finding the Third Proportional to 286,912.50 and 670,120.50

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Solution

The third proportional to 286,912.50 and 670,120.50 is: 1,565,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,912.50 : 670,120.50 = 670,120.50 : x
  2. Step 2: Convert to fraction form
    286,912.50/670,120.50 = 670,120.50/x
  3. Step 3: Cross multiply
    286,912.50x = 670,120.50 × 670,120.50
  4. Step 4: Simplify right side
    286,912.50x = 449,061,484,520.25
  5. Step 5: Solve for x
    x = 449,061,484,520.25/286,912.50
  6. Step 6: Final answer
    x = 1,565,151.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.