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Finding the Third Proportional to 290,402 and 439,980

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Solution

The third proportional to 290,402 and 439,980 is: 666,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,402 : 439,980 = 439,980 : x
  2. Step 2: Convert to fraction form
    290,402/439,980 = 439,980/x
  3. Step 3: Cross multiply
    290,402x = 439,980 × 439,980
  4. Step 4: Simplify right side
    290,402x = 193,582,400,400
  5. Step 5: Solve for x
    x = 193,582,400,400/290,402
  6. Step 6: Final answer
    x = 666,601.47

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Why These Related Problems?

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