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Finding the Third Proportional to 225,087 and 470,964

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Solution

The third proportional to 225,087 and 470,964 is: 985,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,087 : 470,964 = 470,964 : x
  2. Step 2: Convert to fraction form
    225,087/470,964 = 470,964/x
  3. Step 3: Cross multiply
    225,087x = 470,964 × 470,964
  4. Step 4: Simplify right side
    225,087x = 221,807,089,296
  5. Step 5: Solve for x
    x = 221,807,089,296/225,087
  6. Step 6: Final answer
    x = 985,428.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.