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Finding the Third Proportional to 316,057.50 and 484,692.75

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Solution

The third proportional to 316,057.50 and 484,692.75 is: 743,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,057.50 : 484,692.75 = 484,692.75 : x
  2. Step 2: Convert to fraction form
    316,057.50/484,692.75 = 484,692.75/x
  3. Step 3: Cross multiply
    316,057.50x = 484,692.75 × 484,692.75
  4. Step 4: Simplify right side
    316,057.50x = 234,927,061,902.56
  5. Step 5: Solve for x
    x = 234,927,061,902.56/316,057.50
  6. Step 6: Final answer
    x = 743,304.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.