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Finding the Third Proportional to 525,201 and 811,092

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Solution

The third proportional to 525,201 and 811,092 is: 1,252,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,201 : 811,092 = 811,092 : x
  2. Step 2: Convert to fraction form
    525,201/811,092 = 811,092/x
  3. Step 3: Cross multiply
    525,201x = 811,092 × 811,092
  4. Step 4: Simplify right side
    525,201x = 657,870,232,464
  5. Step 5: Solve for x
    x = 657,870,232,464/525,201
  6. Step 6: Final answer
    x = 1,252,606.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.