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Finding the Third Proportional to 364,073.88 and 546,110.38

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Solution

The third proportional to 364,073.88 and 546,110.38 is: 819,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,073.88 : 546,110.38 = 546,110.38 : x
  2. Step 2: Convert to fraction form
    364,073.88/546,110.38 = 546,110.38/x
  3. Step 3: Cross multiply
    364,073.88x = 546,110.38 × 546,110.38
  4. Step 4: Simplify right side
    364,073.88x = 298,236,541,682.64
  5. Step 5: Solve for x
    x = 298,236,541,682.64/364,073.88
  6. Step 6: Final answer
    x = 819,164.91

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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.