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Finding the Third Proportional to 321,711 and 423,048

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Solution

The third proportional to 321,711 and 423,048 is: 556,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,711 : 423,048 = 423,048 : x
  2. Step 2: Convert to fraction form
    321,711/423,048 = 423,048/x
  3. Step 3: Cross multiply
    321,711x = 423,048 × 423,048
  4. Step 4: Simplify right side
    321,711x = 178,969,610,304
  5. Step 5: Solve for x
    x = 178,969,610,304/321,711
  6. Step 6: Final answer
    x = 556,305.54

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.