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Finding the Third Proportional to 497,781 and 765,558

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Solution

The third proportional to 497,781 and 765,558 is: 1,177,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,781 : 765,558 = 765,558 : x
  2. Step 2: Convert to fraction form
    497,781/765,558 = 765,558/x
  3. Step 3: Cross multiply
    497,781x = 765,558 × 765,558
  4. Step 4: Simplify right side
    497,781x = 586,079,051,364
  5. Step 5: Solve for x
    x = 586,079,051,364/497,781
  6. Step 6: Final answer
    x = 1,177,383.33

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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.