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Finding the Third Proportional to 491,729 and 742,115.50

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Solution

The third proportional to 491,729 and 742,115.50 is: 1,119,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,729 : 742,115.50 = 742,115.50 : x
  2. Step 2: Convert to fraction form
    491,729/742,115.50 = 742,115.50/x
  3. Step 3: Cross multiply
    491,729x = 742,115.50 × 742,115.50
  4. Step 4: Simplify right side
    491,729x = 550,735,415,340.25
  5. Step 5: Solve for x
    x = 550,735,415,340.25/491,729
  6. Step 6: Final answer
    x = 1,119,997.83

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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.