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Finding the Third Proportional to 311,838 and 660,483.50

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Solution

The third proportional to 311,838 and 660,483.50 is: 1,398,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838 : 660,483.50 = 660,483.50 : x
  2. Step 2: Convert to fraction form
    311,838/660,483.50 = 660,483.50/x
  3. Step 3: Cross multiply
    311,838x = 660,483.50 × 660,483.50
  4. Step 4: Simplify right side
    311,838x = 436,238,453,772.25
  5. Step 5: Solve for x
    x = 436,238,453,772.25/311,838
  6. Step 6: Final answer
    x = 1,398,926.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.