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Finding the Third Proportional to 302,240 and 444,996

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Solution

The third proportional to 302,240 and 444,996 is: 655,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,240 : 444,996 = 444,996 : x
  2. Step 2: Convert to fraction form
    302,240/444,996 = 444,996/x
  3. Step 3: Cross multiply
    302,240x = 444,996 × 444,996
  4. Step 4: Simplify right side
    302,240x = 198,021,440,016
  5. Step 5: Solve for x
    x = 198,021,440,016/302,240
  6. Step 6: Final answer
    x = 655,179.46

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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.