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Finding the Third Proportional to 348,749.25 and 493,616.25

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Solution

The third proportional to 348,749.25 and 493,616.25 is: 698,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,749.25 : 493,616.25 = 493,616.25 : x
  2. Step 2: Convert to fraction form
    348,749.25/493,616.25 = 493,616.25/x
  3. Step 3: Cross multiply
    348,749.25x = 493,616.25 × 493,616.25
  4. Step 4: Simplify right side
    348,749.25x = 243,657,002,264.06
  5. Step 5: Solve for x
    x = 243,657,002,264.06/348,749.25
  6. Step 6: Final answer
    x = 698,659.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.