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Finding the Third Proportional to 257,814.14 and 555,122.11

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Solution

The third proportional to 257,814.14 and 555,122.11 is: 1,195,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,814.14 : 555,122.11 = 555,122.11 : x
  2. Step 2: Convert to fraction form
    257,814.14/555,122.11 = 555,122.11/x
  3. Step 3: Cross multiply
    257,814.14x = 555,122.11 × 555,122.11
  4. Step 4: Simplify right side
    257,814.14x = 308,160,556,316.95
  5. Step 5: Solve for x
    x = 308,160,556,316.95/257,814.14
  6. Step 6: Final answer
    x = 1,195,281.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.