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Finding the Third Proportional to 385,960 and 830,984

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Solution

The third proportional to 385,960 and 830,984 is: 1,789,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,960 : 830,984 = 830,984 : x
  2. Step 2: Convert to fraction form
    385,960/830,984 = 830,984/x
  3. Step 3: Cross multiply
    385,960x = 830,984 × 830,984
  4. Step 4: Simplify right side
    385,960x = 690,534,408,256
  5. Step 5: Solve for x
    x = 690,534,408,256/385,960
  6. Step 6: Final answer
    x = 1,789,134.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.