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Finding the Third Proportional to 653,013 and 957,163.50

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Solution

The third proportional to 653,013 and 957,163.50 is: 1,402,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,013 : 957,163.50 = 957,163.50 : x
  2. Step 2: Convert to fraction form
    653,013/957,163.50 = 957,163.50/x
  3. Step 3: Cross multiply
    653,013x = 957,163.50 × 957,163.50
  4. Step 4: Simplify right side
    653,013x = 916,161,965,732.25
  5. Step 5: Solve for x
    x = 916,161,965,732.25/653,013
  6. Step 6: Final answer
    x = 1,402,976.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.