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Finding the Third Proportional to 213,732 and 470,124

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Solution

The third proportional to 213,732 and 470,124 is: 1,034,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,732 : 470,124 = 470,124 : x
  2. Step 2: Convert to fraction form
    213,732/470,124 = 470,124/x
  3. Step 3: Cross multiply
    213,732x = 470,124 × 470,124
  4. Step 4: Simplify right side
    213,732x = 221,016,575,376
  5. Step 5: Solve for x
    x = 221,016,575,376/213,732
  6. Step 6: Final answer
    x = 1,034,082.75

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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.