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Finding the Third Proportional to 313,483.50 and 484,346.25

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Solution

The third proportional to 313,483.50 and 484,346.25 is: 748,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,483.50 : 484,346.25 = 484,346.25 : x
  2. Step 2: Convert to fraction form
    313,483.50/484,346.25 = 484,346.25/x
  3. Step 3: Cross multiply
    313,483.50x = 484,346.25 × 484,346.25
  4. Step 4: Simplify right side
    313,483.50x = 234,591,289,889.06
  5. Step 5: Solve for x
    x = 234,591,289,889.06/313,483.50
  6. Step 6: Final answer
    x = 748,336.96

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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.