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Finding the Third Proportional to 551,960 and 830,674

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Solution

The third proportional to 551,960 and 830,674 is: 1,250,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,960 : 830,674 = 830,674 : x
  2. Step 2: Convert to fraction form
    551,960/830,674 = 830,674/x
  3. Step 3: Cross multiply
    551,960x = 830,674 × 830,674
  4. Step 4: Simplify right side
    551,960x = 690,019,294,276
  5. Step 5: Solve for x
    x = 690,019,294,276/551,960
  6. Step 6: Final answer
    x = 1,250,125.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.