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Finding the Third Proportional to 272,489 and 401,044

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Solution

The third proportional to 272,489 and 401,044 is: 590,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,489 : 401,044 = 401,044 : x
  2. Step 2: Convert to fraction form
    272,489/401,044 = 401,044/x
  3. Step 3: Cross multiply
    272,489x = 401,044 × 401,044
  4. Step 4: Simplify right side
    272,489x = 160,836,289,936
  5. Step 5: Solve for x
    x = 160,836,289,936/272,489
  6. Step 6: Final answer
    x = 590,248.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.