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Finding the Third Proportional to 279,594 and 608,340

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Solution

The third proportional to 279,594 and 608,340 is: 1,323,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,594 : 608,340 = 608,340 : x
  2. Step 2: Convert to fraction form
    279,594/608,340 = 608,340/x
  3. Step 3: Cross multiply
    279,594x = 608,340 × 608,340
  4. Step 4: Simplify right side
    279,594x = 370,077,555,600
  5. Step 5: Solve for x
    x = 370,077,555,600/279,594
  6. Step 6: Final answer
    x = 1,323,624.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.