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Finding the Third Proportional to 311,200.50 and 480,621

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Solution

The third proportional to 311,200.50 and 480,621 is: 742,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,200.50 : 480,621 = 480,621 : x
  2. Step 2: Convert to fraction form
    311,200.50/480,621 = 480,621/x
  3. Step 3: Cross multiply
    311,200.50x = 480,621 × 480,621
  4. Step 4: Simplify right side
    311,200.50x = 230,996,545,641
  5. Step 5: Solve for x
    x = 230,996,545,641/311,200.50
  6. Step 6: Final answer
    x = 742,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.