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Finding the Third Proportional to 302,232 and 444,984

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Solution

The third proportional to 302,232 and 444,984 is: 655,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,232 : 444,984 = 444,984 : x
  2. Step 2: Convert to fraction form
    302,232/444,984 = 444,984/x
  3. Step 3: Cross multiply
    302,232x = 444,984 × 444,984
  4. Step 4: Simplify right side
    302,232x = 198,010,760,256
  5. Step 5: Solve for x
    x = 198,010,760,256/302,232
  6. Step 6: Final answer
    x = 655,161.47

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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.