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Finding the Third Proportional to 525,646 and 823,635

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Solution

The third proportional to 525,646 and 823,635 is: 1,290,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,646 : 823,635 = 823,635 : x
  2. Step 2: Convert to fraction form
    525,646/823,635 = 823,635/x
  3. Step 3: Cross multiply
    525,646x = 823,635 × 823,635
  4. Step 4: Simplify right side
    525,646x = 678,374,613,225
  5. Step 5: Solve for x
    x = 678,374,613,225/525,646
  6. Step 6: Final answer
    x = 1,290,554.12

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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.