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Finding the Third Proportional to 294,152 and 622,972

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Solution

The third proportional to 294,152 and 622,972 is: 1,319,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,152 : 622,972 = 622,972 : x
  2. Step 2: Convert to fraction form
    294,152/622,972 = 622,972/x
  3. Step 3: Cross multiply
    294,152x = 622,972 × 622,972
  4. Step 4: Simplify right side
    294,152x = 388,094,112,784
  5. Step 5: Solve for x
    x = 388,094,112,784/294,152
  6. Step 6: Final answer
    x = 1,319,365.88

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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.