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Finding the Third Proportional to 364,072.88 and 546,108.94

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Solution

The third proportional to 364,072.88 and 546,108.94 is: 819,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,072.88 : 546,108.94 = 546,108.94 : x
  2. Step 2: Convert to fraction form
    364,072.88/546,108.94 = 546,108.94/x
  3. Step 3: Cross multiply
    364,072.88x = 546,108.94 × 546,108.94
  4. Step 4: Simplify right side
    364,072.88x = 298,234,971,617.38
  5. Step 5: Solve for x
    x = 298,234,971,617.38/364,072.88
  6. Step 6: Final answer
    x = 819,162.84

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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.