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Finding the Third Proportional to 302,306 and 624,196

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Solution

The third proportional to 302,306 and 624,196 is: 1,288,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,306 : 624,196 = 624,196 : x
  2. Step 2: Convert to fraction form
    302,306/624,196 = 624,196/x
  3. Step 3: Cross multiply
    302,306x = 624,196 × 624,196
  4. Step 4: Simplify right side
    302,306x = 389,620,646,416
  5. Step 5: Solve for x
    x = 389,620,646,416/302,306
  6. Step 6: Final answer
    x = 1,288,828.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.