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Finding the Third Proportional to 278,688 and 593,340

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Solution

The third proportional to 278,688 and 593,340 is: 1,263,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,688 : 593,340 = 593,340 : x
  2. Step 2: Convert to fraction form
    278,688/593,340 = 593,340/x
  3. Step 3: Cross multiply
    278,688x = 593,340 × 593,340
  4. Step 4: Simplify right side
    278,688x = 352,052,355,600
  5. Step 5: Solve for x
    x = 352,052,355,600/278,688
  6. Step 6: Final answer
    x = 1,263,249.07

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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.