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Finding the Third Proportional to 353,430 and 765,936

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Solution

The third proportional to 353,430 and 765,936 is: 1,659,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,430 : 765,936 = 765,936 : x
  2. Step 2: Convert to fraction form
    353,430/765,936 = 765,936/x
  3. Step 3: Cross multiply
    353,430x = 765,936 × 765,936
  4. Step 4: Simplify right side
    353,430x = 586,657,956,096
  5. Step 5: Solve for x
    x = 586,657,956,096/353,430
  6. Step 6: Final answer
    x = 1,659,898.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.