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Finding the Third Proportional to 279,592 and 608,336

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Solution

The third proportional to 279,592 and 608,336 is: 1,323,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,592 : 608,336 = 608,336 : x
  2. Step 2: Convert to fraction form
    279,592/608,336 = 608,336/x
  3. Step 3: Cross multiply
    279,592x = 608,336 × 608,336
  4. Step 4: Simplify right side
    279,592x = 370,072,688,896
  5. Step 5: Solve for x
    x = 370,072,688,896/279,592
  6. Step 6: Final answer
    x = 1,323,616.87

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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.