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Finding the Third Proportional to 401,842 and 547,230

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Solution

The third proportional to 401,842 and 547,230 is: 745,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,842 : 547,230 = 547,230 : x
  2. Step 2: Convert to fraction form
    401,842/547,230 = 547,230/x
  3. Step 3: Cross multiply
    401,842x = 547,230 × 547,230
  4. Step 4: Simplify right side
    401,842x = 299,460,672,900
  5. Step 5: Solve for x
    x = 299,460,672,900/401,842
  6. Step 6: Final answer
    x = 745,219.94

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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.