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Finding the Third Proportional to 272,619 and 413,833.50

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Solution

The third proportional to 272,619 and 413,833.50 is: 628,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,619 : 413,833.50 = 413,833.50 : x
  2. Step 2: Convert to fraction form
    272,619/413,833.50 = 413,833.50/x
  3. Step 3: Cross multiply
    272,619x = 413,833.50 × 413,833.50
  4. Step 4: Simplify right side
    272,619x = 171,258,165,722.25
  5. Step 5: Solve for x
    x = 171,258,165,722.25/272,619
  6. Step 6: Final answer
    x = 628,196.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.