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Finding the Third Proportional to 272,464 and 593,971

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Solution

The third proportional to 272,464 and 593,971 is: 1,294,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,464 : 593,971 = 593,971 : x
  2. Step 2: Convert to fraction form
    272,464/593,971 = 593,971/x
  3. Step 3: Cross multiply
    272,464x = 593,971 × 593,971
  4. Step 4: Simplify right side
    272,464x = 352,801,548,841
  5. Step 5: Solve for x
    x = 352,801,548,841/272,464
  6. Step 6: Final answer
    x = 1,294,855.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.