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Finding the Third Proportional to 728,154.75 and 1,092,232.50

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Solution

The third proportional to 728,154.75 and 1,092,232.50 is: 1,638,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,154.75 : 1,092,232.50 = 1,092,232.50 : x
  2. Step 2: Convert to fraction form
    728,154.75/1,092,232.50 = 1,092,232.50/x
  3. Step 3: Cross multiply
    728,154.75x = 1,092,232.50 × 1,092,232.50
  4. Step 4: Simplify right side
    728,154.75x = 1,192,971,834,056.25
  5. Step 5: Solve for x
    x = 1,192,971,834,056.25/728,154.75
  6. Step 6: Final answer
    x = 1,638,349.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.