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Finding the Third Proportional to 344,768 and 535,728

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Solution

The third proportional to 344,768 and 535,728 is: 832,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,768 : 535,728 = 535,728 : x
  2. Step 2: Convert to fraction form
    344,768/535,728 = 535,728/x
  3. Step 3: Cross multiply
    344,768x = 535,728 × 535,728
  4. Step 4: Simplify right side
    344,768x = 287,004,489,984
  5. Step 5: Solve for x
    x = 287,004,489,984/344,768
  6. Step 6: Final answer
    x = 832,456.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.