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Finding the Third Proportional to 283,734 and 428,985

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Solution

The third proportional to 283,734 and 428,985 is: 648,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,734 : 428,985 = 428,985 : x
  2. Step 2: Convert to fraction form
    283,734/428,985 = 428,985/x
  3. Step 3: Cross multiply
    283,734x = 428,985 × 428,985
  4. Step 4: Simplify right side
    283,734x = 184,028,130,225
  5. Step 5: Solve for x
    x = 184,028,130,225/283,734
  6. Step 6: Final answer
    x = 648,593.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.