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Finding the Third Proportional to 306,057.75 and 475,052.50

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Solution

The third proportional to 306,057.75 and 475,052.50 is: 737,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.75 : 475,052.50 = 475,052.50 : x
  2. Step 2: Convert to fraction form
    306,057.75/475,052.50 = 475,052.50/x
  3. Step 3: Cross multiply
    306,057.75x = 475,052.50 × 475,052.50
  4. Step 4: Simplify right side
    306,057.75x = 225,674,877,756.25
  5. Step 5: Solve for x
    x = 225,674,877,756.25/306,057.75
  6. Step 6: Final answer
    x = 737,360.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.