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Finding the Third Proportional to 214,417 and 470,833

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Solution

The third proportional to 214,417 and 470,833 is: 1,033,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,417 : 470,833 = 470,833 : x
  2. Step 2: Convert to fraction form
    214,417/470,833 = 470,833/x
  3. Step 3: Cross multiply
    214,417x = 470,833 × 470,833
  4. Step 4: Simplify right side
    214,417x = 221,683,713,889
  5. Step 5: Solve for x
    x = 221,683,713,889/214,417
  6. Step 6: Final answer
    x = 1,033,890.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.