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Finding the Third Proportional to 364,162.50 and 546,247.13

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Solution

The third proportional to 364,162.50 and 546,247.13 is: 819,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,162.50 : 546,247.13 = 546,247.13 : x
  2. Step 2: Convert to fraction form
    364,162.50/546,247.13 = 546,247.13/x
  3. Step 3: Cross multiply
    364,162.50x = 546,247.13 × 546,247.13
  4. Step 4: Simplify right side
    364,162.50x = 298,385,921,570.77
  5. Step 5: Solve for x
    x = 298,385,921,570.77/364,162.50
  6. Step 6: Final answer
    x = 819,375.75

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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.