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Finding the Third Proportional to 233,962 and 478,987

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Solution

The third proportional to 233,962 and 478,987 is: 980,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,962 : 478,987 = 478,987 : x
  2. Step 2: Convert to fraction form
    233,962/478,987 = 478,987/x
  3. Step 3: Cross multiply
    233,962x = 478,987 × 478,987
  4. Step 4: Simplify right side
    233,962x = 229,428,546,169
  5. Step 5: Solve for x
    x = 229,428,546,169/233,962
  6. Step 6: Final answer
    x = 980,623.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.