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Finding the Third Proportional to 281,800,461 and 452,992,768

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Solution

The third proportional to 281,800,461 and 452,992,768 is: 728,183,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,800,461 : 452,992,768 = 452,992,768 : x
  2. Step 2: Convert to fraction form
    281,800,461/452,992,768 = 452,992,768/x
  3. Step 3: Cross multiply
    281,800,461x = 452,992,768 × 452,992,768
  4. Step 4: Simplify right side
    281,800,461x = 205,202,447,860,301,824
  5. Step 5: Solve for x
    x = 205,202,447,860,301,824/281,800,461
  6. Step 6: Final answer
    x = 728,183,506.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.