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Finding the Third Proportional to 354,584 and 758,997

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Solution

The third proportional to 354,584 and 758,997 is: 1,624,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,584 : 758,997 = 758,997 : x
  2. Step 2: Convert to fraction form
    354,584/758,997 = 758,997/x
  3. Step 3: Cross multiply
    354,584x = 758,997 × 758,997
  4. Step 4: Simplify right side
    354,584x = 576,076,446,009
  5. Step 5: Solve for x
    x = 576,076,446,009/354,584
  6. Step 6: Final answer
    x = 1,624,654.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.