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Finding the Third Proportional to 294,996 and 633,004

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Solution

The third proportional to 294,996 and 633,004 is: 1,358,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,996 : 633,004 = 633,004 : x
  2. Step 2: Convert to fraction form
    294,996/633,004 = 633,004/x
  3. Step 3: Cross multiply
    294,996x = 633,004 × 633,004
  4. Step 4: Simplify right side
    294,996x = 400,694,064,016
  5. Step 5: Solve for x
    x = 400,694,064,016/294,996
  6. Step 6: Final answer
    x = 1,358,303.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.