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Finding the Third Proportional to 335,533 and 709,931

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Solution

The third proportional to 335,533 and 709,931 is: 1,502,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,533 : 709,931 = 709,931 : x
  2. Step 2: Convert to fraction form
    335,533/709,931 = 709,931/x
  3. Step 3: Cross multiply
    335,533x = 709,931 × 709,931
  4. Step 4: Simplify right side
    335,533x = 504,002,024,761
  5. Step 5: Solve for x
    x = 504,002,024,761/335,533
  6. Step 6: Final answer
    x = 1,502,093.76

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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.