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Finding the Third Proportional to 270,245 and 592,378

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Solution

The third proportional to 270,245 and 592,378 is: 1,298,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,245 : 592,378 = 592,378 : x
  2. Step 2: Convert to fraction form
    270,245/592,378 = 592,378/x
  3. Step 3: Cross multiply
    270,245x = 592,378 × 592,378
  4. Step 4: Simplify right side
    270,245x = 350,911,694,884
  5. Step 5: Solve for x
    x = 350,911,694,884/270,245
  6. Step 6: Final answer
    x = 1,298,494.68

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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.