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Finding the Third Proportional to 355,755,304 and 770,892,680

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Solution

The third proportional to 355,755,304 and 770,892,680 is: 1,670,461,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755,304 : 770,892,680 = 770,892,680 : x
  2. Step 2: Convert to fraction form
    355,755,304/770,892,680 = 770,892,680/x
  3. Step 3: Cross multiply
    355,755,304x = 770,892,680 × 770,892,680
  4. Step 4: Simplify right side
    355,755,304x = 594,275,524,077,582,336
  5. Step 5: Solve for x
    x = 594,275,524,077,582,336/355,755,304
  6. Step 6: Final answer
    x = 1,670,461,458.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.