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Finding the Third Proportional to 214,440 and 470,892

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Solution

The third proportional to 214,440 and 470,892 is: 1,034,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,440 : 470,892 = 470,892 : x
  2. Step 2: Convert to fraction form
    214,440/470,892 = 470,892/x
  3. Step 3: Cross multiply
    214,440x = 470,892 × 470,892
  4. Step 4: Simplify right side
    214,440x = 221,739,275,664
  5. Step 5: Solve for x
    x = 221,739,275,664/214,440
  6. Step 6: Final answer
    x = 1,034,038.78

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