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Finding the Third Proportional to 535,170 and 829,108.50

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Solution

The third proportional to 535,170 and 829,108.50 is: 1,284,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,170 : 829,108.50 = 829,108.50 : x
  2. Step 2: Convert to fraction form
    535,170/829,108.50 = 829,108.50/x
  3. Step 3: Cross multiply
    535,170x = 829,108.50 × 829,108.50
  4. Step 4: Simplify right side
    535,170x = 687,420,904,772.25
  5. Step 5: Solve for x
    x = 687,420,904,772.25/535,170
  6. Step 6: Final answer
    x = 1,284,490.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.