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Finding the Third Proportional to 335,145 and 722,775

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Solution

The third proportional to 335,145 and 722,775 is: 1,558,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,145 : 722,775 = 722,775 : x
  2. Step 2: Convert to fraction form
    335,145/722,775 = 722,775/x
  3. Step 3: Cross multiply
    335,145x = 722,775 × 722,775
  4. Step 4: Simplify right side
    335,145x = 522,403,700,625
  5. Step 5: Solve for x
    x = 522,403,700,625/335,145
  6. Step 6: Final answer
    x = 1,558,739.35

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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.