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Finding the Third Proportional to 279,297 and 607,194

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Solution

The third proportional to 279,297 and 607,194 is: 1,320,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,297 : 607,194 = 607,194 : x
  2. Step 2: Convert to fraction form
    279,297/607,194 = 607,194/x
  3. Step 3: Cross multiply
    279,297x = 607,194 × 607,194
  4. Step 4: Simplify right side
    279,297x = 368,684,553,636
  5. Step 5: Solve for x
    x = 368,684,553,636/279,297
  6. Step 6: Final answer
    x = 1,320,044.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.