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Finding the Third Proportional to 474,628 and 713,958

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Solution

The third proportional to 474,628 and 713,958 is: 1,073,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,628 : 713,958 = 713,958 : x
  2. Step 2: Convert to fraction form
    474,628/713,958 = 713,958/x
  3. Step 3: Cross multiply
    474,628x = 713,958 × 713,958
  4. Step 4: Simplify right side
    474,628x = 509,736,025,764
  5. Step 5: Solve for x
    x = 509,736,025,764/474,628
  6. Step 6: Final answer
    x = 1,073,969.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.