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Finding the Third Proportional to 214,437 and 470,886

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Solution

The third proportional to 214,437 and 470,886 is: 1,034,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,437 : 470,886 = 470,886 : x
  2. Step 2: Convert to fraction form
    214,437/470,886 = 470,886/x
  3. Step 3: Cross multiply
    214,437x = 470,886 × 470,886
  4. Step 4: Simplify right side
    214,437x = 221,733,624,996
  5. Step 5: Solve for x
    x = 221,733,624,996/214,437
  6. Step 6: Final answer
    x = 1,034,026.89

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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.