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Finding the Third Proportional to 525,984 and 854,544

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Solution

The third proportional to 525,984 and 854,544 is: 1,388,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,984 : 854,544 = 854,544 : x
  2. Step 2: Convert to fraction form
    525,984/854,544 = 854,544/x
  3. Step 3: Cross multiply
    525,984x = 854,544 × 854,544
  4. Step 4: Simplify right side
    525,984x = 730,245,447,936
  5. Step 5: Solve for x
    x = 730,245,447,936/525,984
  6. Step 6: Final answer
    x = 1,388,341.56

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.