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Finding the Third Proportional to 479,986.50 and 723,022.50

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Solution

The third proportional to 479,986.50 and 723,022.50 is: 1,089,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,986.50 : 723,022.50 = 723,022.50 : x
  2. Step 2: Convert to fraction form
    479,986.50/723,022.50 = 723,022.50/x
  3. Step 3: Cross multiply
    479,986.50x = 723,022.50 × 723,022.50
  4. Step 4: Simplify right side
    479,986.50x = 522,761,535,506.25
  5. Step 5: Solve for x
    x = 522,761,535,506.25/479,986.50
  6. Step 6: Final answer
    x = 1,089,117.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.