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Finding the Third Proportional to 258,006.20 and 555,339.96

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Solution

The third proportional to 258,006.20 and 555,339.96 is: 1,195,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,006.20 : 555,339.96 = 555,339.96 : x
  2. Step 2: Convert to fraction form
    258,006.20/555,339.96 = 555,339.96/x
  3. Step 3: Cross multiply
    258,006.20x = 555,339.96 × 555,339.96
  4. Step 4: Simplify right side
    258,006.20x = 308,402,465,706.17
  5. Step 5: Solve for x
    x = 308,402,465,706.17/258,006.20
  6. Step 6: Final answer
    x = 1,195,329.67

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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.