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Finding the Third Proportional to 214,082 and 470,537

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Solution

The third proportional to 214,082 and 470,537 is: 1,034,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,082 : 470,537 = 470,537 : x
  2. Step 2: Convert to fraction form
    214,082/470,537 = 470,537/x
  3. Step 3: Cross multiply
    214,082x = 470,537 × 470,537
  4. Step 4: Simplify right side
    214,082x = 221,405,068,369
  5. Step 5: Solve for x
    x = 221,405,068,369/214,082
  6. Step 6: Final answer
    x = 1,034,206.84

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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.