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Finding the Third Proportional to 491,219.25 and 781,112.25

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Solution

The third proportional to 491,219.25 and 781,112.25 is: 1,242,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,219.25 : 781,112.25 = 781,112.25 : x
  2. Step 2: Convert to fraction form
    491,219.25/781,112.25 = 781,112.25/x
  3. Step 3: Cross multiply
    491,219.25x = 781,112.25 × 781,112.25
  4. Step 4: Simplify right side
    491,219.25x = 610,136,347,100.06
  5. Step 5: Solve for x
    x = 610,136,347,100.06/491,219.25
  6. Step 6: Final answer
    x = 1,242,085.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.