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Finding the Third Proportional to 481,342.50 and 748,338.50

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Solution

The third proportional to 481,342.50 and 748,338.50 is: 1,163,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,342.50 : 748,338.50 = 748,338.50 : x
  2. Step 2: Convert to fraction form
    481,342.50/748,338.50 = 748,338.50/x
  3. Step 3: Cross multiply
    481,342.50x = 748,338.50 × 748,338.50
  4. Step 4: Simplify right side
    481,342.50x = 560,010,510,582.25
  5. Step 5: Solve for x
    x = 560,010,510,582.25/481,342.50
  6. Step 6: Final answer
    x = 1,163,434.58

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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.