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Finding the Third Proportional to 302,024,274 and 466,388,530

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Solution

The third proportional to 302,024,274 and 466,388,530 is: 720,201,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,274 : 466,388,530 = 466,388,530 : x
  2. Step 2: Convert to fraction form
    302,024,274/466,388,530 = 466,388,530/x
  3. Step 3: Cross multiply
    302,024,274x = 466,388,530 × 466,388,530
  4. Step 4: Simplify right side
    302,024,274x = 217,518,260,915,560,896
  5. Step 5: Solve for x
    x = 217,518,260,915,560,896/302,024,274
  6. Step 6: Final answer
    x = 720,201,254.14

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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.