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Finding the Third Proportional to 272,927 and 592,240

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Solution

The third proportional to 272,927 and 592,240 is: 1,285,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,927 : 592,240 = 592,240 : x
  2. Step 2: Convert to fraction form
    272,927/592,240 = 592,240/x
  3. Step 3: Cross multiply
    272,927x = 592,240 × 592,240
  4. Step 4: Simplify right side
    272,927x = 350,748,217,600
  5. Step 5: Solve for x
    x = 350,748,217,600/272,927
  6. Step 6: Final answer
    x = 1,285,135.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.