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Finding the Third Proportional to 493,922 and 744,779

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Solution

The third proportional to 493,922 and 744,779 is: 1,123,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,922 : 744,779 = 744,779 : x
  2. Step 2: Convert to fraction form
    493,922/744,779 = 744,779/x
  3. Step 3: Cross multiply
    493,922x = 744,779 × 744,779
  4. Step 4: Simplify right side
    493,922x = 554,695,758,841
  5. Step 5: Solve for x
    x = 554,695,758,841/493,922
  6. Step 6: Final answer
    x = 1,123,043.23

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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.