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Finding the Third Proportional to 275,281.50 and 362,783.25

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Solution

The third proportional to 275,281.50 and 362,783.25 is: 478,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,281.50 : 362,783.25 = 362,783.25 : x
  2. Step 2: Convert to fraction form
    275,281.50/362,783.25 = 362,783.25/x
  3. Step 3: Cross multiply
    275,281.50x = 362,783.25 × 362,783.25
  4. Step 4: Simplify right side
    275,281.50x = 131,611,686,480.56
  5. Step 5: Solve for x
    x = 131,611,686,480.56/275,281.50
  6. Step 6: Final answer
    x = 478,098.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.