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Finding the Third Proportional to 401,841 and 547,229.25

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Solution

The third proportional to 401,841 and 547,229.25 is: 745,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,841 : 547,229.25 = 547,229.25 : x
  2. Step 2: Convert to fraction form
    401,841/547,229.25 = 547,229.25/x
  3. Step 3: Cross multiply
    401,841x = 547,229.25 × 547,229.25
  4. Step 4: Simplify right side
    401,841x = 299,459,852,055.56
  5. Step 5: Solve for x
    x = 299,459,852,055.56/401,841
  6. Step 6: Final answer
    x = 745,219.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.