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Finding the Third Proportional to 535,907 and 829,425

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Solution

The third proportional to 535,907 and 829,425 is: 1,283,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,907 : 829,425 = 829,425 : x
  2. Step 2: Convert to fraction form
    535,907/829,425 = 829,425/x
  3. Step 3: Cross multiply
    535,907x = 829,425 × 829,425
  4. Step 4: Simplify right side
    535,907x = 687,945,830,625
  5. Step 5: Solve for x
    x = 687,945,830,625/535,907
  6. Step 6: Final answer
    x = 1,283,703.76

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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.