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Finding the Third Proportional to 418,094 and 617,298

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Solution

The third proportional to 418,094 and 617,298 is: 911,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,094 : 617,298 = 617,298 : x
  2. Step 2: Convert to fraction form
    418,094/617,298 = 617,298/x
  3. Step 3: Cross multiply
    418,094x = 617,298 × 617,298
  4. Step 4: Simplify right side
    418,094x = 381,056,820,804
  5. Step 5: Solve for x
    x = 381,056,820,804/418,094
  6. Step 6: Final answer
    x = 911,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.