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Finding the Third Proportional to 257,495.06 and 560,742.75

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Solution

The third proportional to 257,495.06 and 560,742.75 is: 1,221,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,495.06 : 560,742.75 = 560,742.75 : x
  2. Step 2: Convert to fraction form
    257,495.06/560,742.75 = 560,742.75/x
  3. Step 3: Cross multiply
    257,495.06x = 560,742.75 × 560,742.75
  4. Step 4: Simplify right side
    257,495.06x = 314,432,431,677.56
  5. Step 5: Solve for x
    x = 314,432,431,677.56/257,495.06
  6. Step 6: Final answer
    x = 1,221,120.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.