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Finding the Third Proportional to 302,964 and 448,588

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Solution

The third proportional to 302,964 and 448,588 is: 664,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,964 : 448,588 = 448,588 : x
  2. Step 2: Convert to fraction form
    302,964/448,588 = 448,588/x
  3. Step 3: Cross multiply
    302,964x = 448,588 × 448,588
  4. Step 4: Simplify right side
    302,964x = 201,231,193,744
  5. Step 5: Solve for x
    x = 201,231,193,744/302,964
  6. Step 6: Final answer
    x = 664,208.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.