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Finding the Third Proportional to 261,873 and 400,416.75

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Solution

The third proportional to 261,873 and 400,416.75 is: 612,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,873 : 400,416.75 = 400,416.75 : x
  2. Step 2: Convert to fraction form
    261,873/400,416.75 = 400,416.75/x
  3. Step 3: Cross multiply
    261,873x = 400,416.75 × 400,416.75
  4. Step 4: Simplify right side
    261,873x = 160,333,573,680.56
  5. Step 5: Solve for x
    x = 160,333,573,680.56/261,873
  6. Step 6: Final answer
    x = 612,256.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.