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Finding the Third Proportional to 576,314 and 830,190

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Solution

The third proportional to 576,314 and 830,190 is: 1,195,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,314 : 830,190 = 830,190 : x
  2. Step 2: Convert to fraction form
    576,314/830,190 = 830,190/x
  3. Step 3: Cross multiply
    576,314x = 830,190 × 830,190
  4. Step 4: Simplify right side
    576,314x = 689,215,436,100
  5. Step 5: Solve for x
    x = 689,215,436,100/576,314
  6. Step 6: Final answer
    x = 1,195,902.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.