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Finding the Third Proportional to 272,049 and 592,284

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Solution

The third proportional to 272,049 and 592,284 is: 1,289,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,049 : 592,284 = 592,284 : x
  2. Step 2: Convert to fraction form
    272,049/592,284 = 592,284/x
  3. Step 3: Cross multiply
    272,049x = 592,284 × 592,284
  4. Step 4: Simplify right side
    272,049x = 350,800,336,656
  5. Step 5: Solve for x
    x = 350,800,336,656/272,049
  6. Step 6: Final answer
    x = 1,289,474.82

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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.