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Finding the Third Proportional to 294,219 and 623,202

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Solution

The third proportional to 294,219 and 623,202 is: 1,320,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,219 : 623,202 = 623,202 : x
  2. Step 2: Convert to fraction form
    294,219/623,202 = 623,202/x
  3. Step 3: Cross multiply
    294,219x = 623,202 × 623,202
  4. Step 4: Simplify right side
    294,219x = 388,380,732,804
  5. Step 5: Solve for x
    x = 388,380,732,804/294,219
  6. Step 6: Final answer
    x = 1,320,039.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.