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Finding the Third Proportional to 491,708.25 and 742,085.44

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Solution

The third proportional to 491,708.25 and 742,085.44 is: 1,119,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,708.25 : 742,085.44 = 742,085.44 : x
  2. Step 2: Convert to fraction form
    491,708.25/742,085.44 = 742,085.44/x
  3. Step 3: Cross multiply
    491,708.25x = 742,085.44 × 742,085.44
  4. Step 4: Simplify right side
    491,708.25x = 550,690,796,549.57
  5. Step 5: Solve for x
    x = 550,690,796,549.57/491,708.25
  6. Step 6: Final answer
    x = 1,119,954.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.