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Finding the Third Proportional to 292,185 and 628,758

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Solution

The third proportional to 292,185 and 628,758 is: 1,353,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,185 : 628,758 = 628,758 : x
  2. Step 2: Convert to fraction form
    292,185/628,758 = 628,758/x
  3. Step 3: Cross multiply
    292,185x = 628,758 × 628,758
  4. Step 4: Simplify right side
    292,185x = 395,336,622,564
  5. Step 5: Solve for x
    x = 395,336,622,564/292,185
  6. Step 6: Final answer
    x = 1,353,035.31

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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.