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Finding the Third Proportional to 335,550 and 709,965

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Solution

The third proportional to 335,550 and 709,965 is: 1,502,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,550 : 709,965 = 709,965 : x
  2. Step 2: Convert to fraction form
    335,550/709,965 = 709,965/x
  3. Step 3: Cross multiply
    335,550x = 709,965 × 709,965
  4. Step 4: Simplify right side
    335,550x = 504,050,301,225
  5. Step 5: Solve for x
    x = 504,050,301,225/335,550
  6. Step 6: Final answer
    x = 1,502,161.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.