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Finding the Third Proportional to 632,917.50 and 845,472

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Solution

The third proportional to 632,917.50 and 845,472 is: 1,129,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,917.50 : 845,472 = 845,472 : x
  2. Step 2: Convert to fraction form
    632,917.50/845,472 = 845,472/x
  3. Step 3: Cross multiply
    632,917.50x = 845,472 × 845,472
  4. Step 4: Simplify right side
    632,917.50x = 714,822,902,784
  5. Step 5: Solve for x
    x = 714,822,902,784/632,917.50
  6. Step 6: Final answer
    x = 1,129,409.29

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.