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Finding the Third Proportional to 278,780 and 593,522

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Solution

The third proportional to 278,780 and 593,522 is: 1,263,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,780 : 593,522 = 593,522 : x
  2. Step 2: Convert to fraction form
    278,780/593,522 = 593,522/x
  3. Step 3: Cross multiply
    278,780x = 593,522 × 593,522
  4. Step 4: Simplify right side
    278,780x = 352,268,364,484
  5. Step 5: Solve for x
    x = 352,268,364,484/278,780
  6. Step 6: Final answer
    x = 1,263,607.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.