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Finding the Third Proportional to 302,024 and 408,747

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Solution

The third proportional to 302,024 and 408,747 is: 553,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024 : 408,747 = 408,747 : x
  2. Step 2: Convert to fraction form
    302,024/408,747 = 408,747/x
  3. Step 3: Cross multiply
    302,024x = 408,747 × 408,747
  4. Step 4: Simplify right side
    302,024x = 167,074,110,009
  5. Step 5: Solve for x
    x = 167,074,110,009/302,024
  6. Step 6: Final answer
    x = 553,181.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.