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Finding the Third Proportional to 276,482 and 592,260

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Solution

The third proportional to 276,482 and 592,260 is: 1,268,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,482 : 592,260 = 592,260 : x
  2. Step 2: Convert to fraction form
    276,482/592,260 = 592,260/x
  3. Step 3: Cross multiply
    276,482x = 592,260 × 592,260
  4. Step 4: Simplify right side
    276,482x = 350,771,907,600
  5. Step 5: Solve for x
    x = 350,771,907,600/276,482
  6. Step 6: Final answer
    x = 1,268,697.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.