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Finding the Third Proportional to 306,310,304 and 655,677,280

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Solution

The third proportional to 306,310,304 and 655,677,280 is: 1,403,520,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,310,304 : 655,677,280 = 655,677,280 : x
  2. Step 2: Convert to fraction form
    306,310,304/655,677,280 = 655,677,280/x
  3. Step 3: Cross multiply
    306,310,304x = 655,677,280 × 655,677,280
  4. Step 4: Simplify right side
    306,310,304x = 429,912,695,508,198,400
  5. Step 5: Solve for x
    x = 429,912,695,508,198,400/306,310,304
  6. Step 6: Final answer
    x = 1,403,520,188.17

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Why These Related Problems?

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