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Finding the Third Proportional to 351,575.25 and 497,802

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Solution

The third proportional to 351,575.25 and 497,802 is: 704,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,575.25 : 497,802 = 497,802 : x
  2. Step 2: Convert to fraction form
    351,575.25/497,802 = 497,802/x
  3. Step 3: Cross multiply
    351,575.25x = 497,802 × 497,802
  4. Step 4: Simplify right side
    351,575.25x = 247,806,831,204
  5. Step 5: Solve for x
    x = 247,806,831,204/351,575.25
  6. Step 6: Final answer
    x = 704,847.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.