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Finding the Third Proportional to 525,288 and 814,932

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Solution

The third proportional to 525,288 and 814,932 is: 1,264,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,288 : 814,932 = 814,932 : x
  2. Step 2: Convert to fraction form
    525,288/814,932 = 814,932/x
  3. Step 3: Cross multiply
    525,288x = 814,932 × 814,932
  4. Step 4: Simplify right side
    525,288x = 664,114,164,624
  5. Step 5: Solve for x
    x = 664,114,164,624/525,288
  6. Step 6: Final answer
    x = 1,264,285.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.