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Finding the Third Proportional to 491,714 and 742,093

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Solution

The third proportional to 491,714 and 742,093 is: 1,119,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,714 : 742,093 = 742,093 : x
  2. Step 2: Convert to fraction form
    491,714/742,093 = 742,093/x
  3. Step 3: Cross multiply
    491,714x = 742,093 × 742,093
  4. Step 4: Simplify right side
    491,714x = 550,702,020,649
  5. Step 5: Solve for x
    x = 550,702,020,649/491,714
  6. Step 6: Final answer
    x = 1,119,964.09

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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.