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Finding the Third Proportional to 451,888 and 662,728

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Solution

The third proportional to 451,888 and 662,728 is: 971,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,888 : 662,728 = 662,728 : x
  2. Step 2: Convert to fraction form
    451,888/662,728 = 662,728/x
  3. Step 3: Cross multiply
    451,888x = 662,728 × 662,728
  4. Step 4: Simplify right side
    451,888x = 439,208,401,984
  5. Step 5: Solve for x
    x = 439,208,401,984/451,888
  6. Step 6: Final answer
    x = 971,940.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.