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Finding the Third Proportional to 525,596 and 811,728

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Solution

The third proportional to 525,596 and 811,728 is: 1,253,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,596 : 811,728 = 811,728 : x
  2. Step 2: Convert to fraction form
    525,596/811,728 = 811,728/x
  3. Step 3: Cross multiply
    525,596x = 811,728 × 811,728
  4. Step 4: Simplify right side
    525,596x = 658,902,345,984
  5. Step 5: Solve for x
    x = 658,902,345,984/525,596
  6. Step 6: Final answer
    x = 1,253,628.92

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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.