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Finding the Third Proportional to 290,257 and 439,765

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Solution

The third proportional to 290,257 and 439,765 is: 666,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,257 : 439,765 = 439,765 : x
  2. Step 2: Convert to fraction form
    290,257/439,765 = 439,765/x
  3. Step 3: Cross multiply
    290,257x = 439,765 × 439,765
  4. Step 4: Simplify right side
    290,257x = 193,393,255,225
  5. Step 5: Solve for x
    x = 193,393,255,225/290,257
  6. Step 6: Final answer
    x = 666,282.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.