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Finding the Third Proportional to 725,133 and 1,019,329.50

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Solution

The third proportional to 725,133 and 1,019,329.50 is: 1,432,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,133 : 1,019,329.50 = 1,019,329.50 : x
  2. Step 2: Convert to fraction form
    725,133/1,019,329.50 = 1,019,329.50/x
  3. Step 3: Cross multiply
    725,133x = 1,019,329.50 × 1,019,329.50
  4. Step 4: Simplify right side
    725,133x = 1,039,032,629,570.25
  5. Step 5: Solve for x
    x = 1,039,032,629,570.25/725,133
  6. Step 6: Final answer
    x = 1,432,885.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.