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Finding the Third Proportional to 384,905.25 and 565,548.75

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Solution

The third proportional to 384,905.25 and 565,548.75 is: 830,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,905.25 : 565,548.75 = 565,548.75 : x
  2. Step 2: Convert to fraction form
    384,905.25/565,548.75 = 565,548.75/x
  3. Step 3: Cross multiply
    384,905.25x = 565,548.75 × 565,548.75
  4. Step 4: Simplify right side
    384,905.25x = 319,845,388,626.56
  5. Step 5: Solve for x
    x = 319,845,388,626.56/384,905.25
  6. Step 6: Final answer
    x = 830,971.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.