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Finding the Third Proportional to 415,168 and 894,009.50

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Solution

The third proportional to 415,168 and 894,009.50 is: 1,925,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,168 : 894,009.50 = 894,009.50 : x
  2. Step 2: Convert to fraction form
    415,168/894,009.50 = 894,009.50/x
  3. Step 3: Cross multiply
    415,168x = 894,009.50 × 894,009.50
  4. Step 4: Simplify right side
    415,168x = 799,252,986,090.25
  5. Step 5: Solve for x
    x = 799,252,986,090.25/415,168
  6. Step 6: Final answer
    x = 1,925,131.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.