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Finding the Third Proportional to 357,893.44 and 771,827.48

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Solution

The third proportional to 357,893.44 and 771,827.48 is: 1,664,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,893.44 : 771,827.48 = 771,827.48 : x
  2. Step 2: Convert to fraction form
    357,893.44/771,827.48 = 771,827.48/x
  3. Step 3: Cross multiply
    357,893.44x = 771,827.48 × 771,827.48
  4. Step 4: Simplify right side
    357,893.44x = 595,717,665,636.64
  5. Step 5: Solve for x
    x = 595,717,665,636.64/357,893.44
  6. Step 6: Final answer
    x = 1,664,511.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.