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Finding the Third Proportional to 323,030 and 452,662

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Solution

The third proportional to 323,030 and 452,662 is: 634,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,030 : 452,662 = 452,662 : x
  2. Step 2: Convert to fraction form
    323,030/452,662 = 452,662/x
  3. Step 3: Cross multiply
    323,030x = 452,662 × 452,662
  4. Step 4: Simplify right side
    323,030x = 204,902,886,244
  5. Step 5: Solve for x
    x = 204,902,886,244/323,030
  6. Step 6: Final answer
    x = 634,315.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.