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Finding the Third Proportional to 301,714.88 and 410,244.75

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Solution

The third proportional to 301,714.88 and 410,244.75 is: 557,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.88 : 410,244.75 = 410,244.75 : x
  2. Step 2: Convert to fraction form
    301,714.88/410,244.75 = 410,244.75/x
  3. Step 3: Cross multiply
    301,714.88x = 410,244.75 × 410,244.75
  4. Step 4: Simplify right side
    301,714.88x = 168,300,754,902.56
  5. Step 5: Solve for x
    x = 168,300,754,902.56/301,714.88
  6. Step 6: Final answer
    x = 557,813.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.