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Finding the Third Proportional to 211,790 and 465,700

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Solution

The third proportional to 211,790 and 465,700 is: 1,024,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,790 : 465,700 = 465,700 : x
  2. Step 2: Convert to fraction form
    211,790/465,700 = 465,700/x
  3. Step 3: Cross multiply
    211,790x = 465,700 × 465,700
  4. Step 4: Simplify right side
    211,790x = 216,876,490,000
  5. Step 5: Solve for x
    x = 216,876,490,000/211,790
  6. Step 6: Final answer
    x = 1,024,016.67

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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.