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Finding the Third Proportional to 302,596 and 439,703

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Solution

The third proportional to 302,596 and 439,703 is: 638,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,596 : 439,703 = 439,703 : x
  2. Step 2: Convert to fraction form
    302,596/439,703 = 439,703/x
  3. Step 3: Cross multiply
    302,596x = 439,703 × 439,703
  4. Step 4: Simplify right side
    302,596x = 193,338,728,209
  5. Step 5: Solve for x
    x = 193,338,728,209/302,596
  6. Step 6: Final answer
    x = 638,933.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.