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Finding the Third Proportional to 348,756.75 and 493,625.25

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Solution

The third proportional to 348,756.75 and 493,625.25 is: 698,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,756.75 : 493,625.25 = 493,625.25 : x
  2. Step 2: Convert to fraction form
    348,756.75/493,625.25 = 493,625.25/x
  3. Step 3: Cross multiply
    348,756.75x = 493,625.25 × 493,625.25
  4. Step 4: Simplify right side
    348,756.75x = 243,665,887,437.56
  5. Step 5: Solve for x
    x = 243,665,887,437.56/348,756.75
  6. Step 6: Final answer
    x = 698,670.03

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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.