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Finding the Third Proportional to 423,290 and 639,255

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Solution

The third proportional to 423,290 and 639,255 is: 965,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,290 : 639,255 = 639,255 : x
  2. Step 2: Convert to fraction form
    423,290/639,255 = 639,255/x
  3. Step 3: Cross multiply
    423,290x = 639,255 × 639,255
  4. Step 4: Simplify right side
    423,290x = 408,646,955,025
  5. Step 5: Solve for x
    x = 408,646,955,025/423,290
  6. Step 6: Final answer
    x = 965,406.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.