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Finding the Third Proportional to 478,968 and 751,356

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Solution

The third proportional to 478,968 and 751,356 is: 1,178,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,968 : 751,356 = 751,356 : x
  2. Step 2: Convert to fraction form
    478,968/751,356 = 751,356/x
  3. Step 3: Cross multiply
    478,968x = 751,356 × 751,356
  4. Step 4: Simplify right side
    478,968x = 564,535,838,736
  5. Step 5: Solve for x
    x = 564,535,838,736/478,968
  6. Step 6: Final answer
    x = 1,178,650.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.