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Finding the Third Proportional to 210,480 and 321,984

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Solution

The third proportional to 210,480 and 321,984 is: 492,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,480 : 321,984 = 321,984 : x
  2. Step 2: Convert to fraction form
    210,480/321,984 = 321,984/x
  3. Step 3: Cross multiply
    210,480x = 321,984 × 321,984
  4. Step 4: Simplify right side
    210,480x = 103,673,696,256
  5. Step 5: Solve for x
    x = 103,673,696,256/210,480
  6. Step 6: Final answer
    x = 492,558.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.