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Finding the Third Proportional to 432,608 and 667,056

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Solution

The third proportional to 432,608 and 667,056 is: 1,028,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,608 : 667,056 = 667,056 : x
  2. Step 2: Convert to fraction form
    432,608/667,056 = 667,056/x
  3. Step 3: Cross multiply
    432,608x = 667,056 × 667,056
  4. Step 4: Simplify right side
    432,608x = 444,963,707,136
  5. Step 5: Solve for x
    x = 444,963,707,136/432,608
  6. Step 6: Final answer
    x = 1,028,560.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.