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Finding the Third Proportional to 272,045 and 592,276

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Solution

The third proportional to 272,045 and 592,276 is: 1,289,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,045 : 592,276 = 592,276 : x
  2. Step 2: Convert to fraction form
    272,045/592,276 = 592,276/x
  3. Step 3: Cross multiply
    272,045x = 592,276 × 592,276
  4. Step 4: Simplify right side
    272,045x = 350,790,860,176
  5. Step 5: Solve for x
    x = 350,790,860,176/272,045
  6. Step 6: Final answer
    x = 1,289,458.95

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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.