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Finding the Third Proportional to 302,424 and 664,928

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Solution

The third proportional to 302,424 and 664,928 is: 1,461,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,424 : 664,928 = 664,928 : x
  2. Step 2: Convert to fraction form
    302,424/664,928 = 664,928/x
  3. Step 3: Cross multiply
    302,424x = 664,928 × 664,928
  4. Step 4: Simplify right side
    302,424x = 442,129,245,184
  5. Step 5: Solve for x
    x = 442,129,245,184/302,424
  6. Step 6: Final answer
    x = 1,461,951.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.