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Finding the Third Proportional to 210,944 and 325,728

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Solution

The third proportional to 210,944 and 325,728 is: 502,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,944 : 325,728 = 325,728 : x
  2. Step 2: Convert to fraction form
    210,944/325,728 = 325,728/x
  3. Step 3: Cross multiply
    210,944x = 325,728 × 325,728
  4. Step 4: Simplify right side
    210,944x = 106,098,729,984
  5. Step 5: Solve for x
    x = 106,098,729,984/210,944
  6. Step 6: Final answer
    x = 502,971.07

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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.