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Finding the Third Proportional to 493,932 and 761,418

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Solution

The third proportional to 493,932 and 761,418 is: 1,173,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,932 : 761,418 = 761,418 : x
  2. Step 2: Convert to fraction form
    493,932/761,418 = 761,418/x
  3. Step 3: Cross multiply
    493,932x = 761,418 × 761,418
  4. Step 4: Simplify right side
    493,932x = 579,757,370,724
  5. Step 5: Solve for x
    x = 579,757,370,724/493,932
  6. Step 6: Final answer
    x = 1,173,759.49

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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.