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Finding the Third Proportional to 218,487.75 and 467,337

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Solution

The third proportional to 218,487.75 and 467,337 is: 999,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,487.75 : 467,337 = 467,337 : x
  2. Step 2: Convert to fraction form
    218,487.75/467,337 = 467,337/x
  3. Step 3: Cross multiply
    218,487.75x = 467,337 × 467,337
  4. Step 4: Simplify right side
    218,487.75x = 218,403,871,569
  5. Step 5: Solve for x
    x = 218,403,871,569/218,487.75
  6. Step 6: Final answer
    x = 999,616.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.