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Finding the Third Proportional to 302,417 and 444,865

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Solution

The third proportional to 302,417 and 444,865 is: 654,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,417 : 444,865 = 444,865 : x
  2. Step 2: Convert to fraction form
    302,417/444,865 = 444,865/x
  3. Step 3: Cross multiply
    302,417x = 444,865 × 444,865
  4. Step 4: Simplify right side
    302,417x = 197,904,868,225
  5. Step 5: Solve for x
    x = 197,904,868,225/302,417
  6. Step 6: Final answer
    x = 654,410.53

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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.