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Finding the Third Proportional to 357,104 and 743,797

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Solution

The third proportional to 357,104 and 743,797 is: 1,549,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,104 : 743,797 = 743,797 : x
  2. Step 2: Convert to fraction form
    357,104/743,797 = 743,797/x
  3. Step 3: Cross multiply
    357,104x = 743,797 × 743,797
  4. Step 4: Simplify right side
    357,104x = 553,233,977,209
  5. Step 5: Solve for x
    x = 553,233,977,209/357,104
  6. Step 6: Final answer
    x = 1,549,223.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.