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Finding the Third Proportional to 351,783 and 758,301.75

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Solution

The third proportional to 351,783 and 758,301.75 is: 1,634,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,783 : 758,301.75 = 758,301.75 : x
  2. Step 2: Convert to fraction form
    351,783/758,301.75 = 758,301.75/x
  3. Step 3: Cross multiply
    351,783x = 758,301.75 × 758,301.75
  4. Step 4: Simplify right side
    351,783x = 575,021,544,053.06
  5. Step 5: Solve for x
    x = 575,021,544,053.06/351,783
  6. Step 6: Final answer
    x = 1,634,591.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.