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Finding the Third Proportional to 305,943 and 662,724

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Solution

The third proportional to 305,943 and 662,724 is: 1,435,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,943 : 662,724 = 662,724 : x
  2. Step 2: Convert to fraction form
    305,943/662,724 = 662,724/x
  3. Step 3: Cross multiply
    305,943x = 662,724 × 662,724
  4. Step 4: Simplify right side
    305,943x = 439,203,100,176
  5. Step 5: Solve for x
    x = 439,203,100,176/305,943
  6. Step 6: Final answer
    x = 1,435,571.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.