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Finding the Third Proportional to 524,165 and 785,425

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Solution

The third proportional to 524,165 and 785,425 is: 1,176,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,165 : 785,425 = 785,425 : x
  2. Step 2: Convert to fraction form
    524,165/785,425 = 785,425/x
  3. Step 3: Cross multiply
    524,165x = 785,425 × 785,425
  4. Step 4: Simplify right side
    524,165x = 616,892,430,625
  5. Step 5: Solve for x
    x = 616,892,430,625/524,165
  6. Step 6: Final answer
    x = 1,176,905.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.