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Finding the Third Proportional to 497,856 and 791,568

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Solution

The third proportional to 497,856 and 791,568 is: 1,258,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,856 : 791,568 = 791,568 : x
  2. Step 2: Convert to fraction form
    497,856/791,568 = 791,568/x
  3. Step 3: Cross multiply
    497,856x = 791,568 × 791,568
  4. Step 4: Simplify right side
    497,856x = 626,579,898,624
  5. Step 5: Solve for x
    x = 626,579,898,624/497,856
  6. Step 6: Final answer
    x = 1,258,556.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.