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Finding the Third Proportional to 302,425 and 444,877

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Solution

The third proportional to 302,425 and 444,877 is: 654,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,425 : 444,877 = 444,877 : x
  2. Step 2: Convert to fraction form
    302,425/444,877 = 444,877/x
  3. Step 3: Cross multiply
    302,425x = 444,877 × 444,877
  4. Step 4: Simplify right side
    302,425x = 197,915,545,129
  5. Step 5: Solve for x
    x = 197,915,545,129/302,425
  6. Step 6: Final answer
    x = 654,428.52

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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.