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Finding the Third Proportional to 325,196 and 500,475

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Solution

The third proportional to 325,196 and 500,475 is: 770,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,196 : 500,475 = 500,475 : x
  2. Step 2: Convert to fraction form
    325,196/500,475 = 500,475/x
  3. Step 3: Cross multiply
    325,196x = 500,475 × 500,475
  4. Step 4: Simplify right side
    325,196x = 250,475,225,625
  5. Step 5: Solve for x
    x = 250,475,225,625/325,196
  6. Step 6: Final answer
    x = 770,228.49

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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.