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Finding the Third Proportional to 232,956 and 510,012

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Solution

The third proportional to 232,956 and 510,012 is: 1,116,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,956 : 510,012 = 510,012 : x
  2. Step 2: Convert to fraction form
    232,956/510,012 = 510,012/x
  3. Step 3: Cross multiply
    232,956x = 510,012 × 510,012
  4. Step 4: Simplify right side
    232,956x = 260,112,240,144
  5. Step 5: Solve for x
    x = 260,112,240,144/232,956
  6. Step 6: Final answer
    x = 1,116,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.