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Finding the Third Proportional to 272,054 and 592,288

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Solution

The third proportional to 272,054 and 592,288 is: 1,289,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,054 : 592,288 = 592,288 : x
  2. Step 2: Convert to fraction form
    272,054/592,288 = 592,288/x
  3. Step 3: Cross multiply
    272,054x = 592,288 × 592,288
  4. Step 4: Simplify right side
    272,054x = 350,805,074,944
  5. Step 5: Solve for x
    x = 350,805,074,944/272,054
  6. Step 6: Final answer
    x = 1,289,468.54

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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.