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Finding the Third Proportional to 302,423 and 446,739

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Solution

The third proportional to 302,423 and 446,739 is: 659,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,423 : 446,739 = 446,739 : x
  2. Step 2: Convert to fraction form
    302,423/446,739 = 446,739/x
  3. Step 3: Cross multiply
    302,423x = 446,739 × 446,739
  4. Step 4: Simplify right side
    302,423x = 199,575,734,121
  5. Step 5: Solve for x
    x = 199,575,734,121/302,423
  6. Step 6: Final answer
    x = 659,922.47

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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.