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Finding the Third Proportional to 296,760 and 628,833

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Solution

The third proportional to 296,760 and 628,833 is: 1,332,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,760 : 628,833 = 628,833 : x
  2. Step 2: Convert to fraction form
    296,760/628,833 = 628,833/x
  3. Step 3: Cross multiply
    296,760x = 628,833 × 628,833
  4. Step 4: Simplify right side
    296,760x = 395,430,941,889
  5. Step 5: Solve for x
    x = 395,430,941,889/296,760
  6. Step 6: Final answer
    x = 1,332,494.08

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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.