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Finding the Third Proportional to 335,843 and 709,590

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Solution

The third proportional to 335,843 and 709,590 is: 1,499,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,843 : 709,590 = 709,590 : x
  2. Step 2: Convert to fraction form
    335,843/709,590 = 709,590/x
  3. Step 3: Cross multiply
    335,843x = 709,590 × 709,590
  4. Step 4: Simplify right side
    335,843x = 503,517,968,100
  5. Step 5: Solve for x
    x = 503,517,968,100/335,843
  6. Step 6: Final answer
    x = 1,499,265.93

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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.