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Finding the Third Proportional to 525,669 and 823,536

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Solution

The third proportional to 525,669 and 823,536 is: 1,290,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,669 : 823,536 = 823,536 : x
  2. Step 2: Convert to fraction form
    525,669/823,536 = 823,536/x
  3. Step 3: Cross multiply
    525,669x = 823,536 × 823,536
  4. Step 4: Simplify right side
    525,669x = 678,211,543,296
  5. Step 5: Solve for x
    x = 678,211,543,296/525,669
  6. Step 6: Final answer
    x = 1,290,187.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.