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Finding the Third Proportional to 386,722 and 830,569.50

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Solution

The third proportional to 386,722 and 830,569.50 is: 1,783,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,722 : 830,569.50 = 830,569.50 : x
  2. Step 2: Convert to fraction form
    386,722/830,569.50 = 830,569.50/x
  3. Step 3: Cross multiply
    386,722x = 830,569.50 × 830,569.50
  4. Step 4: Simplify right side
    386,722x = 689,845,694,330.25
  5. Step 5: Solve for x
    x = 689,845,694,330.25/386,722
  6. Step 6: Final answer
    x = 1,783,828.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.