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Finding the Third Proportional to 493,872 and 761,326

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Solution

The third proportional to 493,872 and 761,326 is: 1,173,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,872 : 761,326 = 761,326 : x
  2. Step 2: Convert to fraction form
    493,872/761,326 = 761,326/x
  3. Step 3: Cross multiply
    493,872x = 761,326 × 761,326
  4. Step 4: Simplify right side
    493,872x = 579,617,278,276
  5. Step 5: Solve for x
    x = 579,617,278,276/493,872
  6. Step 6: Final answer
    x = 1,173,618.42

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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.