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Finding the Third Proportional to 210,290 and 462,635

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Solution

The third proportional to 210,290 and 462,635 is: 1,017,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,290 : 462,635 = 462,635 : x
  2. Step 2: Convert to fraction form
    210,290/462,635 = 462,635/x
  3. Step 3: Cross multiply
    210,290x = 462,635 × 462,635
  4. Step 4: Simplify right side
    210,290x = 214,031,143,225
  5. Step 5: Solve for x
    x = 214,031,143,225/210,290
  6. Step 6: Final answer
    x = 1,017,790.40

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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.