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Finding the Third Proportional to 556,733.25 and 1,192,198.50

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Solution

The third proportional to 556,733.25 and 1,192,198.50 is: 2,552,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,733.25 : 1,192,198.50 = 1,192,198.50 : x
  2. Step 2: Convert to fraction form
    556,733.25/1,192,198.50 = 1,192,198.50/x
  3. Step 3: Cross multiply
    556,733.25x = 1,192,198.50 × 1,192,198.50
  4. Step 4: Simplify right side
    556,733.25x = 1,421,337,263,402.25
  5. Step 5: Solve for x
    x = 1,421,337,263,402.25/556,733.25
  6. Step 6: Final answer
    x = 2,552,995.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.