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Finding the Third Proportional to 272,062 and 592,308

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Solution

The third proportional to 272,062 and 592,308 is: 1,289,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,062 : 592,308 = 592,308 : x
  2. Step 2: Convert to fraction form
    272,062/592,308 = 592,308/x
  3. Step 3: Cross multiply
    272,062x = 592,308 × 592,308
  4. Step 4: Simplify right side
    272,062x = 350,828,766,864
  5. Step 5: Solve for x
    x = 350,828,766,864/272,062
  6. Step 6: Final answer
    x = 1,289,517.71

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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.