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Finding the Third Proportional to 363,561 and 760,530

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Solution

The third proportional to 363,561 and 760,530 is: 1,590,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,561 : 760,530 = 760,530 : x
  2. Step 2: Convert to fraction form
    363,561/760,530 = 760,530/x
  3. Step 3: Cross multiply
    363,561x = 760,530 × 760,530
  4. Step 4: Simplify right side
    363,561x = 578,405,880,900
  5. Step 5: Solve for x
    x = 578,405,880,900/363,561
  6. Step 6: Final answer
    x = 1,590,945.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.