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Finding the Third Proportional to 572,198 and 886,485

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Solution

The third proportional to 572,198 and 886,485 is: 1,373,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,198 : 886,485 = 886,485 : x
  2. Step 2: Convert to fraction form
    572,198/886,485 = 886,485/x
  3. Step 3: Cross multiply
    572,198x = 886,485 × 886,485
  4. Step 4: Simplify right side
    572,198x = 785,855,655,225
  5. Step 5: Solve for x
    x = 785,855,655,225/572,198
  6. Step 6: Final answer
    x = 1,373,398.12

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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.