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Finding the Third Proportional to 594,238 and 894,201

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Solution

The third proportional to 594,238 and 894,201 is: 1,345,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,238 : 894,201 = 894,201 : x
  2. Step 2: Convert to fraction form
    594,238/894,201 = 894,201/x
  3. Step 3: Cross multiply
    594,238x = 894,201 × 894,201
  4. Step 4: Simplify right side
    594,238x = 799,595,428,401
  5. Step 5: Solve for x
    x = 799,595,428,401/594,238
  6. Step 6: Final answer
    x = 1,345,581.11

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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.