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Finding the Third Proportional to 233,960 and 478,983

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Solution

The third proportional to 233,960 and 478,983 is: 980,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,960 : 478,983 = 478,983 : x
  2. Step 2: Convert to fraction form
    233,960/478,983 = 478,983/x
  3. Step 3: Cross multiply
    233,960x = 478,983 × 478,983
  4. Step 4: Simplify right side
    233,960x = 229,424,714,289
  5. Step 5: Solve for x
    x = 229,424,714,289/233,960
  6. Step 6: Final answer
    x = 980,615.12

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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.