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Finding the Third Proportional to 257,532.28 and 378,590.44

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Solution

The third proportional to 257,532.28 and 378,590.44 is: 556,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.28 : 378,590.44 = 378,590.44 : x
  2. Step 2: Convert to fraction form
    257,532.28/378,590.44 = 378,590.44/x
  3. Step 3: Cross multiply
    257,532.28x = 378,590.44 × 378,590.44
  4. Step 4: Simplify right side
    257,532.28x = 143,330,719,366.44
  5. Step 5: Solve for x
    x = 143,330,719,366.44/257,532.28
  6. Step 6: Final answer
    x = 556,554.38

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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.