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Finding the Third Proportional to 335,888 and 709,692

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Solution

The third proportional to 335,888 and 709,692 is: 1,499,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,888 : 709,692 = 709,692 : x
  2. Step 2: Convert to fraction form
    335,888/709,692 = 709,692/x
  3. Step 3: Cross multiply
    335,888x = 709,692 × 709,692
  4. Step 4: Simplify right side
    335,888x = 503,662,734,864
  5. Step 5: Solve for x
    x = 503,662,734,864/335,888
  6. Step 6: Final answer
    x = 1,499,496.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.