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Finding the Third Proportional to 210,573 and 465,435

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Solution

The third proportional to 210,573 and 465,435 is: 1,028,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,573 : 465,435 = 465,435 : x
  2. Step 2: Convert to fraction form
    210,573/465,435 = 465,435/x
  3. Step 3: Cross multiply
    210,573x = 465,435 × 465,435
  4. Step 4: Simplify right side
    210,573x = 216,629,739,225
  5. Step 5: Solve for x
    x = 216,629,739,225/210,573
  6. Step 6: Final answer
    x = 1,028,763.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.