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Finding the Third Proportional to 308,701.13 and 475,353.56

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Solution

The third proportional to 308,701.13 and 475,353.56 is: 731,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701.13 : 475,353.56 = 475,353.56 : x
  2. Step 2: Convert to fraction form
    308,701.13/475,353.56 = 475,353.56/x
  3. Step 3: Cross multiply
    308,701.13x = 475,353.56 × 475,353.56
  4. Step 4: Simplify right side
    308,701.13x = 225,961,009,381.44
  5. Step 5: Solve for x
    x = 225,961,009,381.44/308,701.13
  6. Step 6: Final answer
    x = 731,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.