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Finding the Third Proportional to 248,303,676 and 585,320,862

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Solution

The third proportional to 248,303,676 and 585,320,862 is: 1,379,764,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,303,676 : 585,320,862 = 585,320,862 : x
  2. Step 2: Convert to fraction form
    248,303,676/585,320,862 = 585,320,862/x
  3. Step 3: Cross multiply
    248,303,676x = 585,320,862 × 585,320,862
  4. Step 4: Simplify right side
    248,303,676x = 342,600,511,492,423,040
  5. Step 5: Solve for x
    x = 342,600,511,492,423,040/248,303,676
  6. Step 6: Final answer
    x = 1,379,764,154.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.