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Finding the Third Proportional to 458,119 and 685,062.50

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Solution

The third proportional to 458,119 and 685,062.50 is: 1,024,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,119 : 685,062.50 = 685,062.50 : x
  2. Step 2: Convert to fraction form
    458,119/685,062.50 = 685,062.50/x
  3. Step 3: Cross multiply
    458,119x = 685,062.50 × 685,062.50
  4. Step 4: Simplify right side
    458,119x = 469,310,628,906.25
  5. Step 5: Solve for x
    x = 469,310,628,906.25/458,119
  6. Step 6: Final answer
    x = 1,024,429.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.