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Finding the Third Proportional to 367,030 and 543,723

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Solution

The third proportional to 367,030 and 543,723 is: 805,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,030 : 543,723 = 543,723 : x
  2. Step 2: Convert to fraction form
    367,030/543,723 = 543,723/x
  3. Step 3: Cross multiply
    367,030x = 543,723 × 543,723
  4. Step 4: Simplify right side
    367,030x = 295,634,700,729
  5. Step 5: Solve for x
    x = 295,634,700,729/367,030
  6. Step 6: Final answer
    x = 805,478.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.