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Finding the Third Proportional to 275,884,362 and 459,788,751

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Solution

The third proportional to 275,884,362 and 459,788,751 is: 766,283,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,884,362 : 459,788,751 = 459,788,751 : x
  2. Step 2: Convert to fraction form
    275,884,362/459,788,751 = 459,788,751/x
  3. Step 3: Cross multiply
    275,884,362x = 459,788,751 × 459,788,751
  4. Step 4: Simplify right side
    275,884,362x = 211,405,695,546,140,000
  5. Step 5: Solve for x
    x = 211,405,695,546,140,000/275,884,362
  6. Step 6: Final answer
    x = 766,283,721.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.