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Finding the Third Proportional to 302,024,274 and 466,388,529

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Solution

The third proportional to 302,024,274 and 466,388,529 is: 720,201,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,274 : 466,388,529 = 466,388,529 : x
  2. Step 2: Convert to fraction form
    302,024,274/466,388,529 = 466,388,529/x
  3. Step 3: Cross multiply
    302,024,274x = 466,388,529 × 466,388,529
  4. Step 4: Simplify right side
    302,024,274x = 217,518,259,982,783,840
  5. Step 5: Solve for x
    x = 217,518,259,982,783,840/302,024,274
  6. Step 6: Final answer
    x = 720,201,251.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.