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Finding the Third Proportional to 432,175 and 654,225

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Solution

The third proportional to 432,175 and 654,225 is: 990,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,175 : 654,225 = 654,225 : x
  2. Step 2: Convert to fraction form
    432,175/654,225 = 654,225/x
  3. Step 3: Cross multiply
    432,175x = 654,225 × 654,225
  4. Step 4: Simplify right side
    432,175x = 428,010,350,625
  5. Step 5: Solve for x
    x = 428,010,350,625/432,175
  6. Step 6: Final answer
    x = 990,363.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.