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Finding the Third Proportional to 360,191.81 and 481,990.50

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Solution

The third proportional to 360,191.81 and 481,990.50 is: 644,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,191.81 : 481,990.50 = 481,990.50 : x
  2. Step 2: Convert to fraction form
    360,191.81/481,990.50 = 481,990.50/x
  3. Step 3: Cross multiply
    360,191.81x = 481,990.50 × 481,990.50
  4. Step 4: Simplify right side
    360,191.81x = 232,314,842,090.25
  5. Step 5: Solve for x
    x = 232,314,842,090.25/360,191.81
  6. Step 6: Final answer
    x = 644,975.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.