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Finding the Third Proportional to 270,242 and 592,372

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Solution

The third proportional to 270,242 and 592,372 is: 1,298,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,242 : 592,372 = 592,372 : x
  2. Step 2: Convert to fraction form
    270,242/592,372 = 592,372/x
  3. Step 3: Cross multiply
    270,242x = 592,372 × 592,372
  4. Step 4: Simplify right side
    270,242x = 350,904,586,384
  5. Step 5: Solve for x
    x = 350,904,586,384/270,242
  6. Step 6: Final answer
    x = 1,298,482.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.