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Finding the Third Proportional to 323,913.94 and 508,075.03

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Solution

The third proportional to 323,913.94 and 508,075.03 is: 796,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,913.94 : 508,075.03 = 508,075.03 : x
  2. Step 2: Convert to fraction form
    323,913.94/508,075.03 = 508,075.03/x
  3. Step 3: Cross multiply
    323,913.94x = 508,075.03 × 508,075.03
  4. Step 4: Simplify right side
    323,913.94x = 258,140,237,379.69
  5. Step 5: Solve for x
    x = 258,140,237,379.69/323,913.94
  6. Step 6: Final answer
    x = 796,940.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.