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Finding the Third Proportional to 604,832 and 889,728

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Solution

The third proportional to 604,832 and 889,728 is: 1,308,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,832 : 889,728 = 889,728 : x
  2. Step 2: Convert to fraction form
    604,832/889,728 = 889,728/x
  3. Step 3: Cross multiply
    604,832x = 889,728 × 889,728
  4. Step 4: Simplify right side
    604,832x = 791,615,913,984
  5. Step 5: Solve for x
    x = 791,615,913,984/604,832
  6. Step 6: Final answer
    x = 1,308,819.50

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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.