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Finding the Third Proportional to 525,498 and 815,235

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Solution

The third proportional to 525,498 and 815,235 is: 1,264,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,498 : 815,235 = 815,235 : x
  2. Step 2: Convert to fraction form
    525,498/815,235 = 815,235/x
  3. Step 3: Cross multiply
    525,498x = 815,235 × 815,235
  4. Step 4: Simplify right side
    525,498x = 664,608,105,225
  5. Step 5: Solve for x
    x = 664,608,105,225/525,498
  6. Step 6: Final answer
    x = 1,264,720.52

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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.