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Finding the Third Proportional to 302,024,266 and 466,388,517

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Solution

The third proportional to 302,024,266 and 466,388,517 is: 720,201,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,266 : 466,388,517 = 466,388,517 : x
  2. Step 2: Convert to fraction form
    302,024,266/466,388,517 = 466,388,517/x
  3. Step 3: Cross multiply
    302,024,266x = 466,388,517 × 466,388,517
  4. Step 4: Simplify right side
    302,024,266x = 217,518,248,789,459,296
  5. Step 5: Solve for x
    x = 217,518,248,789,459,296/302,024,266
  6. Step 6: Final answer
    x = 720,201,233.07

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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.