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Finding the Third Proportional to 364,519.50 and 546,777

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Solution

The third proportional to 364,519.50 and 546,777 is: 820,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,519.50 : 546,777 = 546,777 : x
  2. Step 2: Convert to fraction form
    364,519.50/546,777 = 546,777/x
  3. Step 3: Cross multiply
    364,519.50x = 546,777 × 546,777
  4. Step 4: Simplify right side
    364,519.50x = 298,965,087,729
  5. Step 5: Solve for x
    x = 298,965,087,729/364,519.50
  6. Step 6: Final answer
    x = 820,162.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.