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Finding the Third Proportional to 360,261 and 773,944

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Solution

The third proportional to 360,261 and 773,944 is: 1,662,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,261 : 773,944 = 773,944 : x
  2. Step 2: Convert to fraction form
    360,261/773,944 = 773,944/x
  3. Step 3: Cross multiply
    360,261x = 773,944 × 773,944
  4. Step 4: Simplify right side
    360,261x = 598,989,315,136
  5. Step 5: Solve for x
    x = 598,989,315,136/360,261
  6. Step 6: Final answer
    x = 1,662,653.78

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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.