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Finding the Third Proportional to 257,554.69 and 559,422.07

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Solution

The third proportional to 257,554.69 and 559,422.07 is: 1,215,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,554.69 : 559,422.07 = 559,422.07 : x
  2. Step 2: Convert to fraction form
    257,554.69/559,422.07 = 559,422.07/x
  3. Step 3: Cross multiply
    257,554.69x = 559,422.07 × 559,422.07
  4. Step 4: Simplify right side
    257,554.69x = 312,953,052,752.72
  5. Step 5: Solve for x
    x = 312,953,052,752.72/257,554.69
  6. Step 6: Final answer
    x = 1,215,093.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.