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Finding the Third Proportional to 525,025 and 814,485

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Solution

The third proportional to 525,025 and 814,485 is: 1,263,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,025 : 814,485 = 814,485 : x
  2. Step 2: Convert to fraction form
    525,025/814,485 = 814,485/x
  3. Step 3: Cross multiply
    525,025x = 814,485 × 814,485
  4. Step 4: Simplify right side
    525,025x = 663,385,815,225
  5. Step 5: Solve for x
    x = 663,385,815,225/525,025
  6. Step 6: Final answer
    x = 1,263,531.86

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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.