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Finding the Third Proportional to 357,624 and 773,324

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Solution

The third proportional to 357,624 and 773,324 is: 1,672,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,624 : 773,324 = 773,324 : x
  2. Step 2: Convert to fraction form
    357,624/773,324 = 773,324/x
  3. Step 3: Cross multiply
    357,624x = 773,324 × 773,324
  4. Step 4: Simplify right side
    357,624x = 598,030,008,976
  5. Step 5: Solve for x
    x = 598,030,008,976/357,624
  6. Step 6: Final answer
    x = 1,672,231.20

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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.