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Finding the Third Proportional to 525,230 and 814,823

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Solution

The third proportional to 525,230 and 814,823 is: 1,264,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,230 : 814,823 = 814,823 : x
  2. Step 2: Convert to fraction form
    525,230/814,823 = 814,823/x
  3. Step 3: Cross multiply
    525,230x = 814,823 × 814,823
  4. Step 4: Simplify right side
    525,230x = 663,936,521,329
  5. Step 5: Solve for x
    x = 663,936,521,329/525,230
  6. Step 6: Final answer
    x = 1,264,087.20

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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.