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Finding the Third Proportional to 335,845 and 709,594

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Solution

The third proportional to 335,845 and 709,594 is: 1,499,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,845 : 709,594 = 709,594 : x
  2. Step 2: Convert to fraction form
    335,845/709,594 = 709,594/x
  3. Step 3: Cross multiply
    335,845x = 709,594 × 709,594
  4. Step 4: Simplify right side
    335,845x = 503,523,644,836
  5. Step 5: Solve for x
    x = 503,523,644,836/335,845
  6. Step 6: Final answer
    x = 1,499,273.91

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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.