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Finding the Third Proportional to 406,191.75 and 567,852.38

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Solution

The third proportional to 406,191.75 and 567,852.38 is: 793,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,191.75 : 567,852.38 = 567,852.38 : x
  2. Step 2: Convert to fraction form
    406,191.75/567,852.38 = 567,852.38/x
  3. Step 3: Cross multiply
    406,191.75x = 567,852.38 × 567,852.38
  4. Step 4: Simplify right side
    406,191.75x = 322,456,319,793.14
  5. Step 5: Solve for x
    x = 322,456,319,793.14/406,191.75
  6. Step 6: Final answer
    x = 793,852.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.