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Finding the Third Proportional to 491,716 and 759,407

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Solution

The third proportional to 491,716 and 759,407 is: 1,172,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,716 : 759,407 = 759,407 : x
  2. Step 2: Convert to fraction form
    491,716/759,407 = 759,407/x
  3. Step 3: Cross multiply
    491,716x = 759,407 × 759,407
  4. Step 4: Simplify right side
    491,716x = 576,698,991,649
  5. Step 5: Solve for x
    x = 576,698,991,649/491,716
  6. Step 6: Final answer
    x = 1,172,829.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.