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Finding the Third Proportional to 306,418,272 and 655,303,872

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Solution

The third proportional to 306,418,272 and 655,303,872 is: 1,401,428,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,418,272 : 655,303,872 = 655,303,872 : x
  2. Step 2: Convert to fraction form
    306,418,272/655,303,872 = 655,303,872/x
  3. Step 3: Cross multiply
    306,418,272x = 655,303,872 × 655,303,872
  4. Step 4: Simplify right side
    306,418,272x = 429,423,164,658,192,384
  5. Step 5: Solve for x
    x = 429,423,164,658,192,384/306,418,272
  6. Step 6: Final answer
    x = 1,401,428,060.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.