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Finding the Third Proportional to 279,640 and 598,826

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Solution

The third proportional to 279,640 and 598,826 is: 1,282,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,640 : 598,826 = 598,826 : x
  2. Step 2: Convert to fraction form
    279,640/598,826 = 598,826/x
  3. Step 3: Cross multiply
    279,640x = 598,826 × 598,826
  4. Step 4: Simplify right side
    279,640x = 358,592,578,276
  5. Step 5: Solve for x
    x = 358,592,578,276/279,640
  6. Step 6: Final answer
    x = 1,282,336.50

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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.