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Finding the Third Proportional to 364,926.75 and 546,843

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Solution

The third proportional to 364,926.75 and 546,843 is: 819,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,926.75 : 546,843 = 546,843 : x
  2. Step 2: Convert to fraction form
    364,926.75/546,843 = 546,843/x
  3. Step 3: Cross multiply
    364,926.75x = 546,843 × 546,843
  4. Step 4: Simplify right side
    364,926.75x = 299,037,266,649
  5. Step 5: Solve for x
    x = 299,037,266,649/364,926.75
  6. Step 6: Final answer
    x = 819,444.63

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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.