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Finding the Third Proportional to 525,019 and 814,475

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Solution

The third proportional to 525,019 and 814,475 is: 1,263,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,019 : 814,475 = 814,475 : x
  2. Step 2: Convert to fraction form
    525,019/814,475 = 814,475/x
  3. Step 3: Cross multiply
    525,019x = 814,475 × 814,475
  4. Step 4: Simplify right side
    525,019x = 663,369,525,625
  5. Step 5: Solve for x
    x = 663,369,525,625/525,019
  6. Step 6: Final answer
    x = 1,263,515.27

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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.