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Finding the Third Proportional to 373,463.16 and 565,833.09

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Solution

The third proportional to 373,463.16 and 565,833.09 is: 857,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,463.16 : 565,833.09 = 565,833.09 : x
  2. Step 2: Convert to fraction form
    373,463.16/565,833.09 = 565,833.09/x
  3. Step 3: Cross multiply
    373,463.16x = 565,833.09 × 565,833.09
  4. Step 4: Simplify right side
    373,463.16x = 320,167,089,982.70
  5. Step 5: Solve for x
    x = 320,167,089,982.70/373,463.16
  6. Step 6: Final answer
    x = 857,292.30

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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.