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Finding the Third Proportional to 357,616 and 773,309

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Solution

The third proportional to 357,616 and 773,309 is: 1,672,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,616 : 773,309 = 773,309 : x
  2. Step 2: Convert to fraction form
    357,616/773,309 = 773,309/x
  3. Step 3: Cross multiply
    357,616x = 773,309 × 773,309
  4. Step 4: Simplify right side
    357,616x = 598,006,809,481
  5. Step 5: Solve for x
    x = 598,006,809,481/357,616
  6. Step 6: Final answer
    x = 1,672,203.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.