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Finding the Third Proportional to 278,937 and 592,758

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Solution

The third proportional to 278,937 and 592,758 is: 1,259,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,937 : 592,758 = 592,758 : x
  2. Step 2: Convert to fraction form
    278,937/592,758 = 592,758/x
  3. Step 3: Cross multiply
    278,937x = 592,758 × 592,758
  4. Step 4: Simplify right side
    278,937x = 351,362,046,564
  5. Step 5: Solve for x
    x = 351,362,046,564/278,937
  6. Step 6: Final answer
    x = 1,259,646.61

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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.