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Finding the Third Proportional to 481,439.50 and 745,089

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Solution

The third proportional to 481,439.50 and 745,089 is: 1,153,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,439.50 : 745,089 = 745,089 : x
  2. Step 2: Convert to fraction form
    481,439.50/745,089 = 745,089/x
  3. Step 3: Cross multiply
    481,439.50x = 745,089 × 745,089
  4. Step 4: Simplify right side
    481,439.50x = 555,157,617,921
  5. Step 5: Solve for x
    x = 555,157,617,921/481,439.50
  6. Step 6: Final answer
    x = 1,153,120.21

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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.