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Finding the Third Proportional to 294,330 and 623,722

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Solution

The third proportional to 294,330 and 623,722 is: 1,321,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,330 : 623,722 = 623,722 : x
  2. Step 2: Convert to fraction form
    294,330/623,722 = 623,722/x
  3. Step 3: Cross multiply
    294,330x = 623,722 × 623,722
  4. Step 4: Simplify right side
    294,330x = 389,029,133,284
  5. Step 5: Solve for x
    x = 389,029,133,284/294,330
  6. Step 6: Final answer
    x = 1,321,744.75

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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.