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Finding the Third Proportional to 276,862 and 592,112

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Solution

The third proportional to 276,862 and 592,112 is: 1,266,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,862 : 592,112 = 592,112 : x
  2. Step 2: Convert to fraction form
    276,862/592,112 = 592,112/x
  3. Step 3: Cross multiply
    276,862x = 592,112 × 592,112
  4. Step 4: Simplify right side
    276,862x = 350,596,620,544
  5. Step 5: Solve for x
    x = 350,596,620,544/276,862
  6. Step 6: Final answer
    x = 1,266,322.65

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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.