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Finding the Third Proportional to 313,733 and 484,769.50

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Solution

The third proportional to 313,733 and 484,769.50 is: 749,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,733 : 484,769.50 = 484,769.50 : x
  2. Step 2: Convert to fraction form
    313,733/484,769.50 = 484,769.50/x
  3. Step 3: Cross multiply
    313,733x = 484,769.50 × 484,769.50
  4. Step 4: Simplify right side
    313,733x = 235,001,468,130.25
  5. Step 5: Solve for x
    x = 235,001,468,130.25/313,733
  6. Step 6: Final answer
    x = 749,049.25

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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.