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Finding the Third Proportional to 257,234.63 and 565,377.75

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Solution

The third proportional to 257,234.63 and 565,377.75 is: 1,242,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,234.63 : 565,377.75 = 565,377.75 : x
  2. Step 2: Convert to fraction form
    257,234.63/565,377.75 = 565,377.75/x
  3. Step 3: Cross multiply
    257,234.63x = 565,377.75 × 565,377.75
  4. Step 4: Simplify right side
    257,234.63x = 319,652,000,195.06
  5. Step 5: Solve for x
    x = 319,652,000,195.06/257,234.63
  6. Step 6: Final answer
    x = 1,242,647.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.