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Finding the Third Proportional to 385,579 and 576,100

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Solution

The third proportional to 385,579 and 576,100 is: 860,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,579 : 576,100 = 576,100 : x
  2. Step 2: Convert to fraction form
    385,579/576,100 = 576,100/x
  3. Step 3: Cross multiply
    385,579x = 576,100 × 576,100
  4. Step 4: Simplify right side
    385,579x = 331,891,210,000
  5. Step 5: Solve for x
    x = 331,891,210,000/385,579
  6. Step 6: Final answer
    x = 860,760.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.