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Finding the Third Proportional to 294,548 and 624,150

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Solution

The third proportional to 294,548 and 624,150 is: 1,322,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,548 : 624,150 = 624,150 : x
  2. Step 2: Convert to fraction form
    294,548/624,150 = 624,150/x
  3. Step 3: Cross multiply
    294,548x = 624,150 × 624,150
  4. Step 4: Simplify right side
    294,548x = 389,563,222,500
  5. Step 5: Solve for x
    x = 389,563,222,500/294,548
  6. Step 6: Final answer
    x = 1,322,579.76

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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.