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Finding the Third Proportional to 523,000 and 1,108,800

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Solution

The third proportional to 523,000 and 1,108,800 is: 2,350,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,000 : 1,108,800 = 1,108,800 : x
  2. Step 2: Convert to fraction form
    523,000/1,108,800 = 1,108,800/x
  3. Step 3: Cross multiply
    523,000x = 1,108,800 × 1,108,800
  4. Step 4: Simplify right side
    523,000x = 1,229,437,440,000
  5. Step 5: Solve for x
    x = 1,229,437,440,000/523,000
  6. Step 6: Final answer
    x = 2,350,740.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.