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Finding the Third Proportional to 335,678 and 710,234

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Solution

The third proportional to 335,678 and 710,234 is: 1,502,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,678 : 710,234 = 710,234 : x
  2. Step 2: Convert to fraction form
    335,678/710,234 = 710,234/x
  3. Step 3: Cross multiply
    335,678x = 710,234 × 710,234
  4. Step 4: Simplify right side
    335,678x = 504,432,334,756
  5. Step 5: Solve for x
    x = 504,432,334,756/335,678
  6. Step 6: Final answer
    x = 1,502,726.82

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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.