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Finding the Third Proportional to 302,421 and 444,871

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Solution

The third proportional to 302,421 and 444,871 is: 654,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,421 : 444,871 = 444,871 : x
  2. Step 2: Convert to fraction form
    302,421/444,871 = 444,871/x
  3. Step 3: Cross multiply
    302,421x = 444,871 × 444,871
  4. Step 4: Simplify right side
    302,421x = 197,910,206,641
  5. Step 5: Solve for x
    x = 197,910,206,641/302,421
  6. Step 6: Final answer
    x = 654,419.52

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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.