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Finding the Third Proportional to 535,323.94 and 830,163.94

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Solution

The third proportional to 535,323.94 and 830,163.94 is: 1,287,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,323.94 : 830,163.94 = 830,163.94 : x
  2. Step 2: Convert to fraction form
    535,323.94/830,163.94 = 830,163.94/x
  3. Step 3: Cross multiply
    535,323.94x = 830,163.94 × 830,163.94
  4. Step 4: Simplify right side
    535,323.94x = 689,172,163,125.50
  5. Step 5: Solve for x
    x = 689,172,163,125.50/535,323.94
  6. Step 6: Final answer
    x = 1,287,392.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.