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Finding the Third Proportional to 257,043.38 and 376,781.63

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Solution

The third proportional to 257,043.38 and 376,781.63 is: 552,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,043.38 : 376,781.63 = 376,781.63 : x
  2. Step 2: Convert to fraction form
    257,043.38/376,781.63 = 376,781.63/x
  3. Step 3: Cross multiply
    257,043.38x = 376,781.63 × 376,781.63
  4. Step 4: Simplify right side
    257,043.38x = 141,964,392,937.64
  5. Step 5: Solve for x
    x = 141,964,392,937.64/257,043.38
  6. Step 6: Final answer
    x = 552,297.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.