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Finding the Third Proportional to 217,944 and 470,313

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Solution

The third proportional to 217,944 and 470,313 is: 1,014,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,944 : 470,313 = 470,313 : x
  2. Step 2: Convert to fraction form
    217,944/470,313 = 470,313/x
  3. Step 3: Cross multiply
    217,944x = 470,313 × 470,313
  4. Step 4: Simplify right side
    217,944x = 221,194,317,969
  5. Step 5: Solve for x
    x = 221,194,317,969/217,944
  6. Step 6: Final answer
    x = 1,014,913.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.