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Finding the Third Proportional to 360,117 and 773,610

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Solution

The third proportional to 360,117 and 773,610 is: 1,661,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,117 : 773,610 = 773,610 : x
  2. Step 2: Convert to fraction form
    360,117/773,610 = 773,610/x
  3. Step 3: Cross multiply
    360,117x = 773,610 × 773,610
  4. Step 4: Simplify right side
    360,117x = 598,472,432,100
  5. Step 5: Solve for x
    x = 598,472,432,100/360,117
  6. Step 6: Final answer
    x = 1,661,883.31

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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.