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Finding the Third Proportional to 366,261 and 760,593

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Solution

The third proportional to 366,261 and 760,593 is: 1,579,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,261 : 760,593 = 760,593 : x
  2. Step 2: Convert to fraction form
    366,261/760,593 = 760,593/x
  3. Step 3: Cross multiply
    366,261x = 760,593 × 760,593
  4. Step 4: Simplify right side
    366,261x = 578,501,711,649
  5. Step 5: Solve for x
    x = 578,501,711,649/366,261
  6. Step 6: Final answer
    x = 1,579,479.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.