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Finding the Third Proportional to 210,711 and 446,202

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Solution

The third proportional to 210,711 and 446,202 is: 944,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,711 : 446,202 = 446,202 : x
  2. Step 2: Convert to fraction form
    210,711/446,202 = 446,202/x
  3. Step 3: Cross multiply
    210,711x = 446,202 × 446,202
  4. Step 4: Simplify right side
    210,711x = 199,096,224,804
  5. Step 5: Solve for x
    x = 199,096,224,804/210,711
  6. Step 6: Final answer
    x = 944,878.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.