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Finding the Third Proportional to 302,434 and 444,889

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Solution

The third proportional to 302,434 and 444,889 is: 654,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,434 : 444,889 = 444,889 : x
  2. Step 2: Convert to fraction form
    302,434/444,889 = 444,889/x
  3. Step 3: Cross multiply
    302,434x = 444,889 × 444,889
  4. Step 4: Simplify right side
    302,434x = 197,926,222,321
  5. Step 5: Solve for x
    x = 197,926,222,321/302,434
  6. Step 6: Final answer
    x = 654,444.35

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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.