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Finding the Third Proportional to 191,809 and 448,004.50

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Solution

The third proportional to 191,809 and 448,004.50 is: 1,046,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,809 : 448,004.50 = 448,004.50 : x
  2. Step 2: Convert to fraction form
    191,809/448,004.50 = 448,004.50/x
  3. Step 3: Cross multiply
    191,809x = 448,004.50 × 448,004.50
  4. Step 4: Simplify right side
    191,809x = 200,708,032,020.25
  5. Step 5: Solve for x
    x = 200,708,032,020.25/191,809
  6. Step 6: Final answer
    x = 1,046,395.28

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.