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Finding the Third Proportional to 491,716 and 742,096

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Solution

The third proportional to 491,716 and 742,096 is: 1,119,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,716 : 742,096 = 742,096 : x
  2. Step 2: Convert to fraction form
    491,716/742,096 = 742,096/x
  3. Step 3: Cross multiply
    491,716x = 742,096 × 742,096
  4. Step 4: Simplify right side
    491,716x = 550,706,473,216
  5. Step 5: Solve for x
    x = 550,706,473,216/491,716
  6. Step 6: Final answer
    x = 1,119,968.59

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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.