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Finding the Third Proportional to 210,541 and 323,619

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Solution

The third proportional to 210,541 and 323,619 is: 497,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,541 : 323,619 = 323,619 : x
  2. Step 2: Convert to fraction form
    210,541/323,619 = 323,619/x
  3. Step 3: Cross multiply
    210,541x = 323,619 × 323,619
  4. Step 4: Simplify right side
    210,541x = 104,729,257,161
  5. Step 5: Solve for x
    x = 104,729,257,161/210,541
  6. Step 6: Final answer
    x = 497,429.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.